Write a linear function f with the values f(0)=−5 and f(3)=4.

Question

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Answer 1

When they say f(0) = -5 they mean the point (0, -5) is on the line.

When they say f(3) = 4 they mean the point (3, 4) is on the line.

Find the slope: m = (y2-y1)/(x2-x1) = (4+5)/(3-0) = 3

The first point happens to the the y-intercept, so b = -5

In y = mx + b form, we would have f(x) = 3x - 5.