Question

Question
Which equation of the linear function models the relationship shown in the table. Show your work.

x 2 4 5 8 10
y 21 17 15 9 5

(1 point)
Responses

y=−2x+25
y is equal to negative 2 x plus 25

y=2x+24
y is equal to 2 x plus 24

y=2x+21
y is equal to 2 x plus 21

y=−3x+19

Answer 1

Find the slope using two points, e.g. (2,21) and (4,17):
m = (17 − 21)/(4 − 2) = −4/2 = −2.

Use y = mx + b with m = −2 and point (2,21):
21 = −2(2) + b → 21 = −4 + b → b = 25.

So the equation is y = −2x + 25. (Check: x=5 → y=−10+25=15, etc.)