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

B

Explanation:

Answer 2

Explanation:

If these 3 points are collinear, then we can find the slope of the linear function using any 2 of those points. Suppose we use (-4, 3) and (0, 1):

As we move from (-4, 3) to (0, 1), x increases by 4 and y decreases by 2. Hence, the slope of this lilne is m = rise/run = -2/4, or m = -1/2.

Using the slope-intercept formula y = mx + b and replacing y with 1, x with 0 and m with -1/2, we get:

1 = (-1/2)(0) + b, or b = 1. Then the desired equation is y = f(x) = (-1/2)x + 1