Answer:
Step-by-step explanation:
The 2-point form of the equation of a line is useful here. It tells you that for points (x1, y1) and (x2, y2), the line has equation ...
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
For your points (9, -31) and (-2, 13), this equation becomes ...
y = (13-(-31))/(-2-9)(x -9) -31
y = 44/-11(x -9) -31 . . . . simplify
y = -4x +5 . . . . . simplify
You want this as a function named h, so we can write it as ...
h(x) = -4x +5
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Evaluating for x=2, we get
h(2) = -4(2) +5
h(2) = -3
