Question

A table of values for a linear function is shown.

x y
2 10
5 16
8 22

Use the coordinate grid to graph the linear function.

X; Y;

What are the x- and y-intercepts of the linear function?

A
(6, 0) and (−3, 0)
B
(−3, 0) and (0, 6)
C
(0, −3) and (6, 0)
D
(0, 6) and (0, −3)

Answer 1

Slope = (16−10)/(5−2) = 6/3 = 2, so y = 2x + b.
Use (2,10): 10 = 4 + b ⇒ b = 6, so y = 2x + 6.

y-intercept = (0,6). x-intercept: 0 = 2x + 6 ⇒ x = −3 ⇒ (−3,0).

Answer: B (−3, 0) and (0, 6).