Write the equation of each line in slope‐intercept form.

Write The Equation Of Each Line In Slopeintercept Form.

Answers

Answer 1

Answer:

y = -x +4

Step-by-step explanation:

Hi there!

We are given the equation of a line, and we want to write the equation of this line in slope-intercept form

Slope-intercept form is written as y=mx+b, where m is the slope and b is the value of y at the y-intercept

First, we need to find the slope of the line

The slope (m) can be calculated from 2 points, using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

First, let's find 2 points on the line:

The intercepts - the points where the line hits the x and y axis are a good place to start; the intercepts of this line are (4,0) and (0, 4), which will also work for calculating the slope

Let's label the values of these 2 points to avoid any confusion and mistakes when calculating.

[tex]x_1=4\\y_1=0\\x_2=0\\y_2=4[/tex]

Substitute into the formula

m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m=[tex]\frac{4-0}{0-4}[/tex]

Subtract

m=[tex]\frac{4}{-4}[/tex]

Divide

m = -1

The slope of the line is -1

We can substitute that into our equation:

y = -x + b (when -1 is the leading coefficient, only adding a minus sign in front of the variable will suffice)

Now we need to find b

As said earlier, b is the value of y at the y intercept

The point of the y intercept is (0, 4), and the value of y at this point is 4

So substitute 4 as b into the equation

y = -x + 4

Hope this helps!


Related Questions

Can someone please help me with this last question? Thankyou in advance!

Answers

Step-by-step explanation:

so your points are going to be as follows, starting with the left-most point.

(-1, 7)

(0, 4)

(1, 3) [this is the vertex]

(2, 4)

(3, 7)

Answer:

attached image

Step-by-step explanation:

Reference function:

y = x^2

Translated function:

y = a(x - h)^2 + k

k is vertical translation (up if positive or down if negative)

3 in your formula so it move up 3

h is horizontal translation (left if positive or right if negative)

1 in your formula so shifted 1 to the right horizontal translation

a is the vertical scaling

it can be either compressed (more narrow) or streched (wider)

a < 0 the graph is either stretched or compressed and also reflected about the x -axis

none in your formula

[tex]how do u find the reciprical of 9/13[/tex]

Answers

Answer:

flip it around 9/13 reciprocal would be 13/9

Which of the shapes described below have an area of 24
square feet?

Answers

Answer:

B, C, and D

Step-by-step explanation:

Hey there!

In order to find if the area of these shapes are 24, we need to first find the area

A. Triangle: Base of 8 feet, Height of 3 feet

Formula for area of triangle: Base x height x 1/2

8 x 3 x 1/2 --> 24 x 1/2 --> 12

Not an answer

B. Rectangle: Width of 4 feet, Length of 6 feet

Formula for area of rectangle: Length x width

4 x 6 --> 24

It is an answer

C. Parallelogram: Base of 12 feet, Height of 2 feet

Formula for area of Parallelogram: Base x height

12 x 2 --> 24

It is an answer

D. Triangle: Base of 6 feet, height of 8 feet

Formula for area of triangle: Base x height x 1/2

6 x 8 x 1/2 --> 48 x 1/2 --> 24

It is an answer

In conclusion, the statements that make this rule true are:

B, C, and D

3.) Sanaa played a trivia game. Each correct answer is worth 24 points, and
each incorrect answer is worth- 1points. She got 15 answers correct and
got 15 incorrect answers. What was Saniyah's score?

Answers

Answer:

one correct answer =24pts

therefore, 15 correct answers = 24 × 15 = 360pts

one incorrect answer = 1pts

so, 15 incorrect answers = 1 × 15 = 15pts

Saniyah's score = 360 - 15 = 345pts

There are 26 tiles in a bag. Of these, 15 are purple, and the rest are yellow. What are the odds in favor of drawing a yellow tile?

Answers

Answer:

A

Step-by-step explanation:

because 26-15=11. Then 11:26! Hope I helped:)

The odds in favor of drawing a yellow tile is 11/26

What is probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in to predict how likely events are to happen.

Total tiles 26 in a bag

purple tiles = 15

yellow tiles= 26-15

                  = 11 tiles

So,  the odds in favor of drawing a yellow tile is 11/26.

Learn more about probability here:

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What is the solution to the inequality |3x – 12| ≥ 6?

A.) –6 < x < 18
B.) 2 < x < 6
C.) x < –6 or x > 18
D.) x ≤ 2 or x ≥ 6

Answers

Answer:

D

Step-by-step explanation:

|3x – 12| ≥ 6  put it into 2 cases

3x - 12 ≥ 6         or         3x - 12 ≤ -6

3x ≥ 18              or         3x ≤ 6

x ≥ 6                  or         x ≤ 2

What is the radius and diameter of the following circle?
16 cm
Radius =
cm
Diameter =
cm

Answers

Answer:

Alright so there are two ways

Step-by-step explanation:

If your radius is 16cm, then the diameter equals 32cm

If your diameter is 16cm, then your radius equals 8cm

Consider the squares shown. Square P has a side length of 12 centimeters. Square Q has a side length 25% smaller than Square determine the area of both sides. what is the precent decrease in area P to area Q 40 points exra for correct answer

Answers

Answer:

Decrease of 43.75% in area

Step-by-step explanation:

Finding Side Length of Q :

⇒ Side Length P (100% - 25%)

⇒ 75 % x Side Length O

⇒ 0.75 x 12 cm

⇒ 9 cm

Area of Squares P and Q :

⇒ Area (Square P) = (12)²

⇒ Area (Square P) = 144 cm²

⇒ Area (Square Q) = (9)²

⇒ Area (Square Q) = 81 cm²

% Decrease :

⇒ New - Original / New

⇒ 81 - 144 / 144

⇒ -63/144

⇒ -21/48

⇒ -7/16

⇒ -0.4375

Decrease of 43.75% in area

Last week Lisa ran 34 miles. less than
Shanice. Lisa ran 8 miles.. How many
miles did Shanice run?

Answers

Answer:

Shanice ran 42 miles.

Step-by-step explanation:

What is the most precise classification for the quadrilateral shown in the graph below?

Answers

Answer:

parallelogram

Step-by-step explanation:

Quadrilateral with two pairs of parallel sides of equal length that is not a sqaure = parallelogram

can you help me please I pay you £50

Answers

Answer:

(-3,4), (-3,1), and (-5,1)

Expand and Simplify Fully
5(2k+2)+3(K-5)

Answers

Answer:

[tex]13k - 5[/tex]

Step-by-step explanation:

[tex]5(2k + 2) + 3(k - 5) = 10k + 10 + 3k - 15 \\ = 13k - 5[/tex]

Djthr value of an 8 in the ten millions place is what fraction of the value of an 8 in the hundred millions place

Answers

Answer:

1/125,000

Step-by-step explanation:

8/1,000,000 =

4/500,000 =

2/250,000 =

1/125,000 =

0.000008 (just in case)

Sean scores a goal 60% of the time when he kicks the ball on goal. How many goals should he get during a game when he kicks on goal 10 times?

Answers

Sean would get 6 goals if he kicked 10 times
10 x .6 = 6
Hope this helps!

find the measure of the arcs around circle.

Answers

multiply the radius by the measure of the central angle in radians. The angles need to be in radius.

Points B, D, and F are midpoints of the sides of triangle ACE. EC = 39 and DF = 23. Find AC. The diagram is not to scale.

Answers

Answer:

  46

Step-by-step explanation:

The midsegment DF has half the length of the side AC it is parallel to.

__

AC = 2×DF = 2×23

AC = 46

Select the correct answer.
E
5
D
с
A
00
B
דן
F
-2.
2.
3
Which points define the solution set of this linear-quadratic system of equations?
A point A and point B
B. point D and point F
Cpoint C and point E
D. point B and point D

Answers

It is probably 2.





…………..
The answer is C because that is where the line hits the quadratic graph.

Help

A. What is the slope of the line? Show your work.

B. What is the y intercept of the line?

C. What is the slope intercept form of the equation of the line?

D what is he standard form of the equation of the line?

Answers

Answer:

Hi!

The slope of the line is marked as rise over run and in slope intercept form it is mx. We can tell from the way the line is slanting that it is a positive slope. It goes up 1, over 6. So therefore, the slope is 1/6.

The y intercept of the line is -4, which we know because that is where the line and the y axis meet. The y intercept is b in slope intercept form.

The slope intercept form is y = 1/6x -4.

For standard form, we subtract 1/6x from both sides to get

-1/6x + y = -4

Hope this helps!

Step-by-step explanation:

PLEASE HELP ME!!!!!!!

Answers

Answer:

2/3

Step-by-step explanation:

p(B/A)=[P(A&B)]/p(A)

2/3=[P(A&B)]/(1/2)

P(A&B)=2/3 *1/2=1/3

P(A&B)=P(A)*P(B)

1/3=1/2*P(B)

P(B)=1/3*2/1=2/3

Louis needs to secure his tent.He will use a rope to go down the edge of the tent, straight out to a post and back to the starting think fastener,as shown​

Answers

If Louis needs to secure his tent. He will use a rope to go down the edge of the tent, straight out to a post and back to the starting think fastener then total length of rope is 36 ft.

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Given that Louis needs to secure his tent.

He will use a rope to go down the edge of the tent, straight out to a post and back to the starting think fastener

We have to find the length of the rope by using pythagoras theorem

12²+9²=x²

144+81=x²

225=x²

Take square root on both sides

x=√225

x=15

The total length is 12+9+15=36 ft

Hence, if Louis needs to secure his tent. He will use a rope to go down the edge of the tent, straight out to a post and back to the starting think fastener then total length of rope is 36 ft.

To learn more on trigonometry click:

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If I earn $15/hour and work for 20 hours/week, how much would I earn in one
month?

A.)$1,200

B.)$3,500

C.)$3,000

D.)$2.000

Answers

Answer:

$1,200

Step-by-step explanation:

$15 x 20 = $300/week; $300 x 4 weeks = $1,200

Answer:

A.)$1,200 a month

Step-by-step explanation:

it's the same as before. but, if you're looking for multiple weeks, just do the same thing, but multiply it by how many weeks there are. Ex. $15 an hour times 20 hours is $300, and there are 4 weeks in a month, so you would multiply it by 4 to get $1,200

The following graph shows a proportional relationship.
What is the constant of proportionality between y and x in the graph?

Answers

Answer:

y=2x

Step-by-step explanation:

For which values of a and b is the following statement not true?

Answers

Answer:

Choice D is the answer

Step-by-step explanation:

| 7 | - | 2 | = -5

7 - 2 ≠ -5

Hope this helps

PLSS HELP ASAPPP PLS What would be the sinuosity of this river:
Sinuosity = 28 cm curved length and a 20 cm straight length.

Answers

Answer:

= CL : SL

= 28 cm : 20 cm

= 1,4 cm

[tex]\begin{gathered}\begin{gathered}\begin{gathered}\color{magenta}{\rule{10pt}{20pt}}\purple{\rule{10pt}{20pt}}\red{\rule{10pt}{20pt}}\orange{\rule{10pt}{20pt}}\color{yellow}{\rule{10pt}{20pt}}\color{lime}{\rule{10pt}{20pt}}\color{green}{\rule{10pt}{20pt}}\color{blue}{\rule{10pt}{20pt}}\color{indigo}{\rule{10pt}{20pt}}\color{violet}{\rule{10pt}{20pt}}\color{aquamarine}{\rule{10pt}{20pt}} \\\color{magenta}{\rule{10pt}{20pt}}\purple{\rule{10pt}{20pt}}\red{\rule{10pt}{20pt}}\orange{\rule{10pt}{20pt}}\color{yellow}{\rule{10pt}{20pt}}\color{lime}{\rule{10pt}{20pt}}\color{green}{\rule{10pt}{20pt}}\color{blue}{\rule{10pt}{20pt}}\color{indigo}{\rule{10pt}{20pt}}\color{violet}{\rule{10pt}{20pt}}\color{aquamarine}{\rule{10pt}{20pt}}\end{gathered}\end{gathered}\end{gathered}[/tex]

What is the coefficient in the mathematical expression?

7m squared2 +2(19)


7

19

2

m

Answers

Using it's concept, it is found that the coefficient of the mathematical expression 7m² + 2(19) is of 7.

What is the leading coefficient of a polynomial?

The leading coefficient of a polynomial is the term that multiplies the highest exponent.

In this problem, the expression is given by:

7m² + 19.

The highest exponent is of 2, in m², hence the leading coefficient is of 7.

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ZA and ZB are vertical angles. If mZA= (2x + 26)° and mZB = (3x + 21)',
then find the measure of ZB.

Answers

Answer:

m<ZB is 36 degrees

Step-by-step explanation:

Since they are vertical angles, they are congruent. U set up the equation like this “2x+26=3x+21” and solve for x

subtract 2x from both sides and you’ll get “26=x+21”

subract 21 from both sides and you’ll get “5=x”

now we substitute x for 5!

3(5)+21=

15+21=

36

So m<ZB is 36 degrees!

ur welcome :)

hope i helped

brainliest please?

Find the surface area of the figure.
8 ft
6 ft
6 ft

Answers

Answer:

4.5 step by step

Step-by-step explanation:

6 × 6 = 36 ÷ 8 = 4.5

The pathway of Sam's dive into
the swimming pool can be
represented by the equation
h = -16t2 + 15t + 12
(where t = time in seconds and
h = height in feet)
What is Sam's height
after 1 second?
M

Answers

The Sam's height after 1 second, form the equation of pathway of Sam's dive into the swimming pool is 11 feet.

What is the equation of motion?

The equation of motion is the relation between the distance, velocity, acceleration and time of a moving body.

The pathway of Sam's dive into the swimming pool can be represented by the equation,

[tex]h = -16t^2 + 15t + 12[/tex]

(where t = time in seconds and h = height in feet)

The Sam's height after 1 second is,

[tex]h = -16t^2 + 15t + 12\\h = -16(1)^2 + 15(1) + 12\\h=-16+15+12\\h=11\rm\; ft[/tex]

Thus, the Sam's height after 1 second, form the equation of pathway of Sam's dive into the swimming pool is 11 feet.

Learn more about the equation of motion here;

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Pls help me!!!!!!!!!!!

Answers

Angle 1 and angle 4 are corresponding angles, meaning that they are in the same relative position on their line.

Corresponding angles are congruent, which means angles 1 and 4 are congruent (equal to each other).

Angle 1 = Angle 4

74 = 3x - 18

92 = 3x

x = [tex]30 \frac{2}{3}[/tex]

---Rounded to the nearest tenth: 30.7

---Rounded to the nearest hundredth: 30.67

---Rounded to the nearest thousandth: 30.667

Hope this helps!

Answer:

Step-by-step explanation:

3x - 18 = 74

3x = 92

x ≈ 30 2/3

[tex]\sqrt{x - 242} =33[/tex
Please answer.

Answers

Answer:

x = 1331

Step-by-step explanation:

Squaring both sides :

[tex](\sqrt{x-242})^{2} = 33^{2}[/tex]x - 242 = 1089x = 1089 + 242x = 1331
Answer: x = 1331

Step-by-Step Explanation:

=> sqrt (x - 242) = 33
=> x - 242 = 33^2 (Squaring both sides)
= x - 242 = 1089
=> x = 1089 + 242 = 1331

Therefore, x = 1331
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