Question

What are the slope and the y-intercept of the linear function that is represented by the table? x y –3 18 0 12 3 6 6 0 The slope is –2, and the y-intercept is 6. The slope is –2, and the y-intercept is 12. The slope is 2, and the y-intercept is 6. The slope is 2, and the y-intercept is 12.

Answer 1

We look for the linear function of the table:

y-yo = m (x-xo)

Where,

m = (0-12) / (6-0)

m = (- 12) / (6)

m = -2

(xo, yo) = (0, 12)

Substituting:

y-12 = -2 (x-0)

Rewriting:

y = -2x + 12

Answer:

The slope is -2, and the y-intercept is 12