Write an equation in standard form passing through the points (-2, 0) and (-3, -1). I know the answer to the question, but I do not know how to solve this question to get to the answer. I will give the title to whoever gives the most understandable explanation to the question and answer. I will be glad to answer to help you give to create an explanation. Thank you and good luck.

Answers

Answer 1

Answer:

[tex]y - x = 2[/tex]

Step-by-step explanation:

Given

Points (-2,0) and (-3,-1)

Required

Equation of Line

The first step is to determine the slope of the line; using the following formula

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

[tex]Where\ (x_1,y_1) = (-2,0)\ and\ (x_2,y_2) = (-3,-1)[/tex]

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

[tex]m = \frac{-1 -0}{-3 - (-2)}[/tex]

[tex]m = \frac{-1}{-3 +2}[/tex]

[tex]m = \frac{-1}{-1}[/tex]

[tex]m = 1[/tex]

The next is to determine the equation of the line using any of the points

The formula is as thus;

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

Using [tex]m = \frac{y - y_1}{x - x_1}[/tex]

[tex]Where\ (x_1,y_1) = (-2,0)\ and\ m =1[/tex]

[tex]1 = \frac{y-0}{x - (-2)}[/tex]

[tex]1 = \frac{y-0}{x +2}[/tex]

[tex]1 = \frac{y}{x +2}[/tex]

Multiply both sides by x + 2

[tex](x+2)*1 = \frac{y}{x +2} * (x+2)[/tex]

[tex](x+2)*1 = y[/tex]

[tex]x+2 = y[/tex]

[tex]y = x + 2[/tex]

Subtract x from both sides

[tex]y - x = x - x +2[/tex]

[tex]y - x = 2[/tex]

Hence, the equation of the line in standard form is [tex]y - x = 2[/tex]


Related Questions

what is the slope of the line that contains the points (2,6) and (-1,-6)?

Answers

Answer:

4

Step-by-step explanation:

6 --6=12

2--1=3

12/3=4

PLEASE HELP ME!!!

1) Lakisha wants to buy some bitcoins. The exchange rate is $1 USD to 0.003 bitcoin. How many bitcoins can she buy with $400?

Enter your answer as a decimal, for example: 4.6

Answers

Answer:

1.2

Step-by-step explanation:

She bought 1.2 bitcoins in $400.

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities.

And, Total quantity gives after combine as x + y.

Given that,

Number of bitcoins in $1 USD =  0.003

The to find the number of bitcoins in $400

We just multiply 400 by the number of bitcoin bought in 1 $1 USD

Therefore,

The number of bitcoin she bought in $400 is,

= 400 x 0.003

= 1.2

Thus,

Number of bitcoins in $400 = 1.2

Learn more about the ratio visit:

https://brainly.com/question/12024093

#SPJ3

If the largest value in a data set is 12 and the range is 3, what is the smallest value in the set?

Answers

So the smallest value in the set is 9.

Look at the attached picture

Hope it will help you

Good luck on your assignment

Why is the product of a rational number and an irrational number Irrational?

Answers

Answer:

Because the product is always non-termination,non-repeating decimal.

Step-by-step explanation:

If we have [tex]a[/tex] is irrational;  [tex]b[/tex] is rational such that [tex]b \neq 0[/tex] , then [tex]a \cdot b[/tex] is irrational.

A way to represent this is:

[tex]a\in\mathbb{R}\setminus\mathbb{Q}, b\in\mathbb{Q},ab\in\mathbb{Q}\implies a\in\mathbb{Q}\implies\text{Contradiction}\therefore ab\not\in\mathbb{Q}.[/tex]

Note that we have a contradiction, because [tex]a[/tex] is not a rational number, as I stated in the beginning. Therefore, ab is irrational.

Answer: A

Step-by-step explanation:

Multiplying an irrational number by a rational number will always be an irrational number because irrational numbers do not repeat and terminate.

So for example multiplying pi by a rational like two you will have an irrational number because pi is an irrational number.

[tex]\pi * 2[/tex] = 6.28318530718  as you could see that is an irrational number because there is no repetition or termination.

Is the answer a? If not can someone explain

Answers

Answer:

c . Quadratic binomial

Step-by-step explanation:

a qudratic expression is always in form of ax²+bx + c while a quadratic trinomial is in the form of ax³+bx²+cx+d .

I hope it helps

Answer:

c.) quadratic binomial

Step-by-step explanation:

Quadratic equation:

ax² + bx + c

The polynomial is in this form and like all quadratics forms a parabola, a u-shape, when graphed. Therefore, it is a quadratic equation.

Binomial = an expression with two terms

This polynomial has three terms: x², and 5x, making it a quadratic binomial.

Help pls thank youuuu!

Answers

Answer:

It is A again.

Step-by-step explanation:

Equation given:

[tex]F=kx-kx_{0}[/tex]

We have to isolate [tex]x[/tex]

[tex]F+kx_{0}=kx[/tex]

Divide both sides by [tex]k[/tex]

[tex]$\frac{F+k_{0}}{k}=x$[/tex]

what’s the midsegment

Answers

Answer:

17 units

Step-by-step explanation:

The midsegment of a triangle theorem states that:

The midsegment is 1/2 of it's parallel side.

So,

6x + 5 = 1/2(4x + 26)

6x + 5 = 2x + 13

6x - 2x + 5 = 13

4x + 5 = 13

4x = 13 - 5

4x = 8

x = 8 ÷ 4

x = 2

Substitute x to the midsegment.

6x + 5

6(2) + 5

12 + 5

17

Hello

Here is the answer:

A midsegment of a triangle is a segment connecting the midpoints of two sides of a triangle.  It is always parallel to the third side, and the length of the midsegment is half the length of the third side.

Please mark

Thanks

Jake

Please help!!!!!
#34

Answers

The answer is c
Because x doesn’t repeat

Answer:

c

Step-by-step explanation:

you know what output you get from the input.

For example, you know that if you put in -5, you get -2, or if you put in 4, you get -2.

Even though there are two inputs for one output, it is still a function.

------------------------------------------------------------------------

If there are two outputs for one input, it is not a function.

For example, on d, when -5 is an input, you don't know if you're going to get 3 or 7. So, it's not a function.

//// hope that this helps you and have a great day////

The graph of a system of equations is shown below.which ordered pair is the best estimate for the solution to the system of equations?
A) (-6,-2)
B) (-3,2)
C) (4,-4)
D) (6,8)

Answers

Answer:

B. (-3, 2)

Step-by-step explanation:

The solution is given by the coordinates of the point where the lines intersect.

From the graph we see that it is  the point where x = -3 and y = 2.

Which expression is equivalent to

Answers

Answer:

B. [tex]\sqrt[9]{xy^2}[/tex]

Step-by-step explanation:

Answer:

[tex]x(\sqrt[9]{y^2} )[/tex]

Step-by-step explanation:

[tex]xy^{2/9}[/tex]

The power 2/9 is on the variable y.

[tex]x(y^{2})^{1/9}[/tex]

The power 1/9 can be written as the ninth root.

[tex]x(\sqrt[9]{y^2} )[/tex]

Find the surface area. Show work

Answers

SA: 2xLxW + 2xWxH + 2xLxH
SA: 2x4.5x20 + 2x4.5x23 + 2x20x23
SA: 180 + 207 + 920
TSA: 1307cm2 (squared)

Use the substitution method to solve the system of equations. Choose the correct ordered pair.

Answers

Answer:

B

Step-by-step explanation:

Subtitution method:

y=6x-4 (1)

y=7x-7 (2)

subtitute 7x-7 into (1) because both y1 and y2 are same

7x-7=6x-4

7x-6x=-4+7

x=3

subtitute x=3 into any equation

eg: y=6x-4 y=7x-7

=6(3)-4 or =7(3)-7

=14 =14

Therefore, The answer is (3,14)

Answer:A

Step-by-step explanation: It is a because you should trust me

Which correlation coefficient could represent the relationship in the scatterplot?

A) 0.89
B) –0.78
C) –0.36
D) 1.23

Answers

Answer:

B is the awsnsr to your question

Step-by-step explanation:

Answer:

B) –0.78.

Step-by-step explanation:

2x + 3y = 36, when y = 6?

Answers

Answer:

x=9

Step-by-step explanation:

2x+3(6)=36

2x+18=36

2x=18

x=9

Answer:

x=9

Step-by-step explanation:

if y=6 its now 2x + 18 =36. Subtract 18 from both sides. 2x = 18. 2(9) = 18. Therefore x=9

Emilio borrows $1200 from a bank with 7.5% simple interest per year. How much will he have to pay back total in 4 years?

Answers

Answer:

1560

Step-by-step explanation:

1200*0.075 = 90

1200+90+90+90+90

Answer:

$1,560

Step-by-step explanation:

7.5% of $1,200 is 90. 90 times 4 (as in 4 years) is 360.

$360 plus $1,200 is $1,560.

*PLEASE ANSWER* Write an equation for the circle whose graph is shown.

Answers

Answer:

D .

Step-by-step explanation:

(x+2)2+y2=4.

this is because the equation for the circle is in the graph.

Answer:

D

Step-by-step explanation:

which linear inequality is represented by the graph?​

Answers

The answer is the first one

Answer:

A

Step-by-step explanation:

y-int. = 2

Slope m= rise/run = 1/2

The line has an equation y = (1/2)x +2

Shading is under the line, so y≤(1/2)x +2. Answer is A.

6. If Scott Hoff has a balance of $429.50 on a credit card that charges a finance charge computed at 2.5%, what is the
new balance? Round your answer to the nearest cent.
A $432.00
B $486.98
IC $440.24
D $455.35
HELP PLS WHATS THE SOLUTION

Answers

Answer:

C.440.24

Step-by-step explanation:

To get the new balance first multiply the extra balance

[tex]\frac{2.5}{100}*429.50[/tex]

[tex]\frac{1073.75}{100}[/tex]

[tex]10.7375[/tex]

so add the new balance to 429.50

429.50+10.7375=440.2375=440.24

Answer:

C. $440.24

Step-by-step explanation:

Multiply 0.025 (the decimal form of 2.5%) to 429.50:

429.50 · 0.025 = 10.7375

Then add the sum to the original balance:

429.50 + 10.7375 = 440.2375

Round to nearest hundredth:

440.24

If you cut 10 circles out of a rectangular board with an area of 64in2, what is the maximum area of each circle?

Answers

Answer:

the maximum area that can be of a circle that has been cut out of rectangular board can be 70 in zero

Please help me with my algebra.

Answers

Answer:

(8, -1)

Step-by-step explanation:

To use elimination, we can add the two equations together to eliminate the y:

x-y = 9

x+y = 7

x + x -y + y = 16

2x = 16

x = 8

Plug that back into the original equation to get:

8-y = 9

y = -1

So the ordered pair is (8, -1)

Find the measurement of both complementary angles, if:
c
They are equal.

Answers

Answer:

Complementary angles add to 90 degrees.

If they are equal, each angle is 45 degrees.

Step-by-step explanation:

solve the system and the value of y 3x-5y=-35 2x-5y=-30

Answers

Answer:

Step-by-step explanation:

3x - 5y = -35

2x - 5y = -30

3x - 5y = -35

-2x + 5y = 30

x = -5

3(-5) -5y = -35

-15 - 5y = -35

-5y = -20

y = 4

Answer: It is A. 4

Step-by-step explanation:3x - 5y = -35

2x - 5y = -30

3x - 5y = -35

-2x + 5y = 30

x = -5

3(-5) -5y = -35

-15 - 5y = -35

-5y = -20

y = 4

(Happy to Help!) (0.<)

3. If x = 6, y = -2, and z = 3, what is the
value of the following expression?
(x2 + xy)/z2
a. 2
b. 19
C. 2
d. 6

Answers

d. 6
because
[6(2) + 6(-2)]/3(2)
[12+(-12)] /6
0/6= 6

the ratio of the cost of one meter of polyester fabric to the cost of one meter of one silk is 2:9 complete the table of costs

Answers

Answer:

Polyester Fabric = 4 || 8 || 16 || 22

Silk Fabric          = 18 || 36 || 72 || 99

Step-by-step explanation:

Given:

The above table

Ratio; Polyester Fabric : Silk = 2:9

Required

Complete the above table

Provided that the ratio of the cost of one meter of polyester fabric to the cost of one meter of one silk is 2:9;

To complete rows of polyester fabric

We simply multiply cost by ratio of polyester fabric ratio (2)

To complete rows of silk fabric

We simply multiply cost by ratio of silk fabric ratio (9)

This is as follows:

When length = 2m

Polyester Fabric = 2 * 2 = 4

Silk Fabric = 2 * 9 = 18

When length = 4m

Polyester Fabric = 4 * 2 = 8

Silk Fabric = 4 * 9 = 36

When length = 8m

Polyester Fabric = 8 * 2 = 16

Silk Fabric = 8 * 9 = 72

When length = 11m

Polyester Fabric = 11 * 2 = 22

Silk Fabric = 11 * 9 = 99

Hence, the complete table is as follows:

Polyester Fabric = 4 || 8 || 16 || 22

Silk Fabric          = 18 || 36 || 72 || 99

A flag pole that is 20 feet tall casts a shadow 8 feet long.
At the same time of day, a building casts a shadow 25
feet long. How tall is the building?​

Answers

Answer:

62.5 ft

Step-by-step explanation:

→You can set up a proportion, like so:

[tex]\frac{20}{8} =\frac{x}{25}[/tex]

→Cross multiply:

[tex]\frac{500}{8x}[/tex]

→Divide 500 by 8:

x = 62.5

Answer:

62.5 feet

Step-by-step explanation:

8/20

25/x

25*20/8 = x

x = 62.5

Find the missing height

Answers

Answer:

h = 39.8 inches

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2h

We know the diameter d = 32 so the radius is 1/2 of the diameter

r = d/2=32/2 = 16

32000 = pi (16)^2 h

32000 = 256 ( pi) h

Divide each side by 256 pi

32000 / 256 pi = h

125/pi = h

Using 3.14 for pi

39.8089172 = h

Rounding to the nearest tenth

h = 39.8 inches

i need help with 2 of these

Answers

Answer:

1false

2true

Its me, hope from the day we said we would text at 10am remember lollll that person so HI i have a lot of accounts and the other got banned for no reason

1 false
2 true
jajaj

Andrew pays a monthly membership fee of $10 at his gym. Each time he uses the gym, he pays $5. Last month, Andrew
spent a total of $65 for membership and gym use. If the equation 10+5x = 85 models the situation, how many times did he
use the gym last month?
11
O 12
13
15

Answers

Answer:

11

Step-by-step explanation:

11x5+10=65

Answer: 11 on edge

Step-by-step explanation:

subtract 10 from both sides of the equation to get: 5x=55

then, divide both sides by 5 to get: x=11

so he used the gym 11 times last month!

Hope this helps have a great day!


[tex]g = \frac{ {v}^{2} - {u}^{2} }{2h} [/tex]
Given that,
[tex]u = 480 \\ v = 500 \\ h = 10[/tex]
find the value of g.​

Answers

Answer:

g=1960

hope it helped

Step-by-step explanation:

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

If a rectangle has an area of 200 square inches and the height is 25 inches what is the length of the missing base

Answers

We know that [tex]A=hl[/tex]. Given [tex]A[/tex] and [tex]h[/tex] we can find [tex]l[/tex].

How? Well here is a procedure.

[tex]

A=hl \\

\frac{A}{h} = \frac{hl}{h} \\

\frac{A}{h} = l \\

l=\frac{200}{25}=\boxed{8\mathrm{in}}

[/tex]

Hope this helps.

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