Write an equation in slope-intercept form from the points (0, 3) and (-4,-1)

Answers

Answer 1

Answer:

y = x + 3

Step-by-step explanation:

Slope-intercept form is represented by the formula [tex]y = mx + b[/tex]. We can write an equation in point-slope form first, then convert it to that form.

1) First, find the slope of the line. Use the slope formula  [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] and substitute the x and y values of the given points into it. Then, simplify to find the slope, or [tex]m[/tex]:

[tex]m = \frac{(-1)-(3)}{(-4)-(0)} \\m = \frac{-1-3}{-4-0} \\m = \frac{-4}{-4} \\m = 1[/tex]

Thus, the slope of the line must be 1.

2) Now, since we know a point the line intersects and its slope, use the point-slope formula [tex]y-y_1=m(x-x_1)[/tex] and substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex]. From there, we can convert the equation into slope-intercept form.

Since [tex]m[/tex] represents the slope, substitute 1 in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects, choose any one of the given points (either one is fine) and substitute its x and y values into the equation, too. (I chose (0,3).) Finally, isolate y to find the answer:

[tex]y-3=1(x-0)\\y-3 = x\\y = x + 3[/tex]


Related Questions

HELP DUE IN 20 MINS!
What is the Scale Factor? Use a fraction in simplest form to represent your answer.

Scale Factor:

Answers

Answer:

5/4

Step-by-step explanation:

Scale factor is the ratio of corresponding sides

15/12 = 5/410/8 = 5/47.5/6 = 5/4

Answer:

5/4

Step-by-step explanation:

7.5/6=1.25

15/12=1.25

10/8=1.25

1.25 is basically 5/4 in a fraction

So 5/4

Rememeber that the Scale factor is the ratio of correspondind sides

Daqui a 5 anos karina terá 37 anos. usando a letra X, escreva uma equação que permita calcular a idade que karina tem hoje. Me ajuda pfvrr​

Answers

Answer:

x + 5 = 37

Step-by-step explanation:

Hoje tem x anos.

Daqui a 5 anos será 5 anos mais velha. A sua idade será x + 5 anos.

Daqui a 5 anos, a sua idade será 37 anos.

x + 5 = 37

What is constant proportionality

Answers

Answer:

The constant of proportionality is the ratio between two directly proportional quantities.

Step-by-step explanation:

Could yall help me PLEASE
estimate the circumference of a quarter whose diameter measures 1.205 inches.
7.6 in.
1.9 in.
2.4 in.
3,6 in.

Answers

Answer: 3.6

Step-by-step explanation:

(Not the best at math but I am an above level student)

C= pi x diameter

C= pi x 1.205

C= 3.7

whats the answer to 5+6x=2-7

Answers

Answer:

x= -5/3

Step-by-step explanation:

hope this helps :) have a nice day !!

Find the x- and y-intercepts of the graph of x– 10y = 31. State your answers as
whole numbers or as improper fractions in simplest form.

Answers

Answer:

x -intercept (31,0)

y-intercept (0,-31/10)

Step-by-step explanation:

x-10y=31

x-10(0)=31

x=31

x-10y=31

0-10y=31

-10y=31

y=-31/10

the alpha recruitment agency is advertising a high-profile employer-paid job as vice president of it operations. the fee is 25% of the first month’s pay. if the job pays x dollars annually, express the agency’s fee algebraically. answer pls​

Answers

Answer:

0.25x

Step-by-step explanation:

got it right on cengage

Write the slope intercept equation for line AB

Answers

Answer:

Y = 2

Step-by-step explanation:

The answer choices are in slope intercept form which is Y=mx+b. Since the slope is 0, there is no need for "mx" in the equation, so y= 2 where b is 2

What is the value of Q?

Answers

Answer:

52 degrees

Step-by-step explanation:


1. Make your own example in describing the two parts of a measurement:
Nonstandard units of
of measurement and Standard units of
measurement.​​

Answers

Step-by-step explanation:

standard unit of measurement : it is typically used within each measurement system such as inches , feet , kilograms etc.

non standard unit of measurement : it is a type of measurement used by our own body parts to measure

Biologists estimate deer populations by sampling a small area and using that information to estimate the entire
population of a large area. They use the equation p= na to estimate p, the population of deer in a acres of land, where
n is the number of deer per acre determined from the sampling. A biologist determines that 1,800 deer populate an area
of 150 acres. What value of n did the biologist find in the initial sampling of the population?
12
B 83
1,650
270,000

Answers

12 is the correct answer!p (population) = n (number of deer per acre) a (number of acres)1,800 deer in 150 acres:1,800 ÷ 150 = 12 deer per acreThere were 12 deer in the acre the biologist sampled.Please let me know if I am wrong.

Use the figure to find the measure of the numbered angles.

Answers

Answer:

I am not sure how your figure is, but I am using one of mine figure.

<1 is corresponding with <5.

<2 is corresponding with <6.

<3 is corresponding with <7.

<4 is a corresponding angle with the given angle.

<5 and <7 are vertical to the given angle.

<6 is a supplementary to the given angle.

I am not sure if answer is right, but hopw this helps, thank you :) !!

15. Two angles are supplementary. One
angle is 8 times larger than the other.
Find the measure of the two angles.

Answers

Answer:

82 and 98 degrees.

Step-by-step

Supplementary angles are equal to 180 degrees. Let's assume both are 90 degrees for both angles. You would then do the following:

90-8= (for angle 1)

90+8= (for angle 2)

Getting 82 and 98 degrees.

can someone tell me if its proportional and why?And also where to put the points for both graphs (I NEED AS SOON AS POSSIBLE PLEASE AND DO THEM RIGHT PLSSS!!) thanks besties!!!!

Answers

Answer:

I think your trying to ask what the answer is and it would be B.

Step-by-step explanation:

Put in the X column: 0 1 2

Put in the Y column: 0 5 10

If it asks for how you know, put that it’s basically multiplying by 5s.

Denise and Aaliyah had lunch at the mall. Aaliyah ordered three slices of pizza and two waters. Denise ordered two slices of pizza and three waters. Aaliyah's bill was $6.00, and Denise's bill was $5.25. What was the price of one slice of pizza? What was the price of one water?

Liana spent $131 on shirts. Fancy shirts cost $28 and plain shirts cost $15. If she bought a total of 7 shirts then how many of each kind did she buy?

Mr. Velazquez purchased two donuts and three cookies and is charged $3.30. Ashley purchases five donuts and two cookies for $4.95 at the same shop. Find the cost of one donut and one cookie.

Answers

Answer:

3x + 2y=6

2x + 3y= 5.25

1 pizza slice = $1.50

1 water = $ 0.75

Step-by-step explanation:

u can write the equations for the questions and use photo math for the rest.....hoped it helped....

Line p passes through point (0,8) and is perpendicular to the graph of y=1/4x+2 line q parallel to line p and passes through point (-3,6) which is the equation of line q in slope intercept form

A. Y=1/4x+6
B. Y=-1/4x+8
C. Y= 4x-8
D. -4x-6

Answers

The answer is A bro trust ,e

Kevin, Luke and mat share £200 in the ratio 1:4:3 how much more money does Luke receive than Kevin

Answers

Answer:

£75

Step-by-step explanation:

sum the parts of the ratio, 1 + 4 + 3 = 8 parts

Divide the amount by 8 to find the value of one part of the ratio

£200 ÷ 8 = £25 ← value of 1 part of the ratio, then

4 parts = 4 × £25 = £100 ← Luke's share

Thus

£100 - £25 = £75

Luke receives £75 more than Kevin

Find the unit rate $1.25 for 5 gumballs

Answers

Answer:

it's about 25 cents per gumball and alltogether thet would be 1.25 for five gumballs hope this helps:)

Step-by-step explanation:

Joshua works in a department store selling clothing. He makes a guaranteed salary of

$350 per week, but is paid a commision on top of his base salary equal to 5% of his

total sales for the week. How much would Joshua make in a week in which he made

$775 in sales? How much would Joshua make in a week if he made x dollars in sales?

Answers

Answer:

contesta la pregunta tú sólo déjame en paz

you add all of them then divide

Alice spins a spinner and rolls a number cube labeled 1-6. the spinner and number cube are shown.
what is the probability that Alice's spinner will land on green and she will roll a 6?

Answers

Answer:

Step-by-step explanation:

first count up the numbers on the spinner and the die cut out the number till get the number but i will guess 2

16
| 27
Find the exact value of z.

Answers

a² + b² = c²

First find out the length of the line in the middle. We know that a² + 16² = 27², which means a = √473

Now write out all the equations for all the right triangles in the diagram.

Let the side of the base of the triangle be x and the remaining sides of z be y.

x² + 27² = (16+ y)²

y² + (√473)² = x²

From here solve and find y. Once you get y, y + 16 is your z, the answer.

Write the equation of the parabola graphed below given the y-intercept is (0, 1)

Brainliest gets 45 points so please help ASAP

Answers

Answer:

y = -3/8(x - 4)² + 7 or y = -3/8x² + 6x + 1

Step-by-step explanation:

We can see on the graph that the vertex is (4, 7) and the leading coefficient is negative as parabola opens down.

The vertex form is:

y = a(x - h)² + k, substitute coordinates to get,y = a(x - 4)² + 7

Considering the y-intercept is (0, 1), substitute values to find the value of a:

1 = a(0 - 4)² + 7a(4²) = 1 - 716a = -6a = -6/16a = -8/3

The function is:

y = -3/8(x - 4)² + 7

In standard form:

y = -3/8(x² - 16x + 16) + 7 = -3/8x² + 6x - 6 + 7 = -3/8x² + 6x + 1

PLS PLS PLS PLS help

Answers

Im on that to, maybe i can help you !! :)

A cuboid is 12 cm broad and 10 cm high. If its volume is 1800 cm³, find its length.​

Answers

Answer:

it's length is 15cm

Step-by-step explanation:

let a represent the length

a × 10 ×12 = 1800

a×120= 1800

a = 1800÷12

a=15cm

1800=L×h×b

1800=L×10×12

1800=120L

L=1800/120

L=15cm ans..

For the following expression, combine like terms and write an equivalent expression with fewer terms.

3x+5x−1

Answers

Answer:

8x - 1

Step-by-step explanation:

3x +5x - 1

8x - 1

This is correct

Answer:

8x-1

PLZ MARK AS BRAINLIEST

Step-by-step explanation:

3x+5x−1 =

(3x+5x)-1 =

8x-1

HELP I NEED HELP ASAP

Answers

Answer:

what do you need help with what -??

Step-by-step explanation:

The ratio of yellow sweets to purple sweets is 5:4.

Alice eats 3 purple sweets and the ratio is now 5:3.

Work out how many sweets there were at the beginning.

Answers

Answer:

27

Step-by-step explanation:

The ratio of yellow : purple = 5 : 4 = 5x : 4x ( x is a multiplier )

After Alice eats 3 purple sweets, then ratio is

5 : 3 = 5x : 4x - 3

Express the ratio in fractional form, that is

[tex]\frac{5}{3}[/tex] = [tex]\frac{5x}{4x-3}[/tex] ( cross- multiply )

5(4x - 3) = 15x

20x - 15 = 15x ( subtract 15x from both sides )

5x - 15 = 0 ( add 15 to both sides )

5x = 15 ( divide both sides by 5 )

x = 3

Then

number of sweets at beginning = 5x + 4x = 9x = 9(3) = 27

bus driver drove from Philadelphia to Washington D.C. He drove the first 100 km in 2 hours, the next 55 km in 1 hour, and the final 75 km in 2 hours. What is the average speed of the bus throughout the trip?

Answers

Answer: I think it’s 46

Step-by-step explanation: Because you add up the miles he drove them divide them by how long he drove

Ex 55+75+100=230 then you divide that by 5 hours = 46 per hour

x/4 = 1/3 what is x?

Answers

Step-by-step explanation:

Given

[tex] \frac{x}{4} = \frac{1}{3} \\ cross \: multiply \\ 3x = 4 \\ x = \frac{4}{3} [/tex]

Hope it will help :)

Answer:

1/3×4 = 1, 3

x is 1,3

Step-by-step explanation:

hope this helps!

What is the equation of the line that passes through the point (3, +2) and has a
slope of
2/3

Answers

Answer:

QUIT CHEATING  JK THE ANSWER IS  y = 2/3x + 3

Step-by-step explanation:

= 2/3(-3) + b       Solve for b

1= -6/3 + b

1 = -2 + b  

+2   +2

b = 3  

The equation will be   y = 2/3x + 3

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