Slope intercept form: y = mx + b
Where m = slope and b = y-intercept.
By looking at the graph, we can see that the line cuts at 1/2 on the y-axis, therefore eliminating option D.
So now we have: y = mx + 1/2
Next, we'll find the slope. [tex] \frac{y_2-y_1}{x_2-x_1} [/tex]
Plug the coordinates into the formula.
[tex] \frac{3-(-2)}{4-(-4)}= \frac{5}{8} [/tex]
So our slope is 5/8 and the y-intercept is 1/2.
Option A is the answer.