A function f(x) is linear and has a value of 29 at x = -2 and 39 at x = 3. Find its value at x = 5.

A. 59 B. 45 C. 43...

Question

A function f(x) is linear and has a value of 29 at x = -2 and 39 at x = 3. Find its value at x = 5.

A. 59  B. 45  C. 43  D. 35

Accepted Answer

f(5) = 43 A linear function has the form f(x) = ax + b, where a is the slope and b is the y-intercept. We are given two points on the line: (-2, 29) and (3, 39). From these two points we can determine both the slope and intercept, and then evaluate the function at x = 5.