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.