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
f(x) = f(x) equals StartFraction one-half EndFraction x plus 1.x + 1
f(x) = 2x + 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. The y-intercept is 1 (point (0,1)), so
f(x) = −(1/2)x + 1.

(This matches the option f(x) = −1/2 x + 1.)