Question

A coordinate plane with a line passing through (negative 4, 3), (0, 1), and (4, negative 1).
Which linear function is represented by the graph?

f(x) = –2x + 1
f(x) = –f(x) equals negative StartFraction one-half EndFraction x plus 1.x + 1

Answer 1

Find the slope using two points, e.g. (0,1) and (4,-1):
m = (−1 − 1)/(4 − 0) = −2/4 = −1/2.

y-intercept is f(0)=1, so the line is f(x) = −(1/2)x + 1.

(Check: f(−4) = −(1/2)(−4)+1 = 2+1 = 3.)