To find the answer, you have to figure out the y-intercept and the slope.
The y-intercept is relatively easy. Look at the graph and locate the spot where the line passes the y axis. It passes at (0, 2), which means that the y-intercept is 2. So, we can eliminate two of the answers.
Now, on to the slope. Slope is the change in y over the change in x, or rise over run. We need at least two points to find the slope. The most obvious ones are the intercepts: (0, 2) and (-1, 0).
Change in y is the difference of the y coordinates: 2 - 0 = 2.
Change in x is the difference of the x coordinates, but this subtraction must be in the same order as the difference of the y coordinates: 0 - (-1) = 1
Change in y over change in x is:
2/1 = 2
So, the slope is 2.
Taking the whole problem, the equation in slope-intercept form is: y = 2x + 2.
The answer is D.
