Question

Use the table to answer the question.

Values x and y for a Linear Function
x y
-5 8
-7 14
Determine the rate of change and the initial value of the linear function given here as a table of values.

(1 point)
Responses

m=−0.5, b=10.5

m equals negative 0.5 comma b equals 10.5

m=−3, b=−7

m equals negative 3 comma b equals negative 7

m=−7, b=−3

m equals negative 7 comma b equals negative 3

m=−0.5, b=5.5

Answer 1

m = −3, b = −7

Slope m = (14 − 8)/(-7 − (-5)) = 6/(-2) = −3. Using 8 = (−3)(−5) + b gives b = −7.