Question

Write an equation for the line that passes through the points (0, -2) and (-4, 0).

y = - x - 4
y = -2 x - 4
y = -2 x - 2
y = - x - 2

Answer 1

Answer: y = -1/2x - 2

Explanation:

To first write the equation, we need to find the slope and the y intercept and write it in the form y=mx +b

To find the slope, we will find the difference between the y coordinates and divide it by the difference between the x coordinates.

The y coordinates of the points are , 0 and -2

The x coordinates of the points are -4 and 0

0 - (-2) = 2

-4 -0 = -4

Slope: 2/-4 = -1/2

Now using the formula y=mx+b, you will input the slope and use one of the given point's coordinates to solve for b the y intercept.

We will use the point (0,-2)

-2 = -1/2(0) + b

-2 = b

This means the equation will be y = -1/2x - 2

Answer 2

y=-1/2x-2

Explanation:

I dont think any of those options are the right one so thats the correct answer