What is an
equation of the line that passes through the points (-4,3) and
(-8,0)?

y = 3/4x + 6

Step-by-step explanation:

(-4,3) and (-8,0)

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(0 - 3) / (-8 - (-4))

Simplify the parentheses.

= (0 - 3) / (-8 + 4)

= (-3) / (-4)

Simplify the fraction.

= -3/-4

= 3/4

This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

y = 3/4x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (-8, 0). Plug in the x and y values into the x and y of the standard equation.

0 = 3/4(-8) + b

To find b, multiply the slope and the input of x(#)

0 = -6 + b

Now, add 6 to both sides to isolate b.

6 = b

Plug this into your standard equation.

y = 3/4x + 6

This is your equation.

Check this by plugging in the other point you have not checked yet (-4, 3).

y = 3/4x + 6

3 = 3/4(-4) + 6

3 = -3 + 6

3 = 3

Your equation is correct.

Hope this helps!

the correct answer is 1: 2

step-by-step explanation:

hope this your welcome : )