What is the equation of this line? 12pts!

a. y = -2x -2

b. y = 2x - 2

c. y = 1/2x - 2

d. y = -1/2x - 2

here is a picture of the graph

We need to find m and b to find in the equation of a line:

y = mx + b
       ↑      ↑
    slope   y-intercept

To find m, the slope, we need to find the rise over the run of the line. You pick two points and use the y values finding the difference of them and do the same for the x values and put them on the bottom. Let's use the points (0, -2) and (4, 0):
    ↑               ↑
(x₁, y₁)       (x₂, y₂)

m = (y₂ - y₁)/(x₂ - x₁)
  
m = (-2 - 0)/(0 - 4)

m = (-2)/(-4)

m = 1/2

The slope is positive since the line is going upward from left to right. 

Now we need b, the y intercept, where the line intersects with the y axis, simply by looking at the graph. b is -2.

Thus, the answer is C. y = 1/2x - 2.