Question

The graph of the function passes through the point (2,1) and y increases by 4 when x increases by 1

Answer 1

f(x) = 4x - 7

Explanation:

To find the function, we must next find the y-intercept, as we know the rate of change already (4). Since x=2 when y=1, we can use the rate of change to find the y-intercept. Going from x=2 to x=0 would multiply the rate of change by -2, and we get (-8). Next, we add -8 to the existing y-value (1) to get -7, and get our y-intercept as well as the rest of our function [f(x)=4x-7]