Answer:
Seth's solution is not correct. The x-coordinates are correct, but the y-coordinates are not. The graphs intersect at (-2, -7) and (3, 13).
Explanation:
By equating the expressions for y and solving the resulting quadratic, Seth correctly found the x-coordinates of the points of intersection. He needs to compute the corresponding y-coordinates using one or the other of the original equations.
For x=-2,
y = 4·(-2) +1 = -7
For x=3,
y = 4·3 +1 = 13
The points of intersection are (-2, -7) and (3, 13).