Question

Write a linear function f with f (5) = 7 and f(-2) = 0.

Answer 1

f(x) = x + 2

Explanation:

y = f(x)

f(5) = 7 (5,7)

f(-2) = 0 (-2,0)

Slope = (y2-y1)/(x2-x1)

= (0-7)/(-2-5) = -7/-7 = 1

y = x + c

When x = -2, y = 0

0 = -2 + c

c = 2

y = x + 2

f(x) = x + 2