Question

Use the table to answer the question.

Linear Function Equation Based on Given x and y Values
x
𝑥
y
𝑦
4 38
6 58
Write the equation of the linear function that models the relationship shown in the table.

(1 point)
Responses

y=x+34
𝑦
=
𝑥
+
34
y equals x plus 34

y=−10x+78
𝑦
=
−
10
𝑥
+
78
y equals negative 10 x plus 78

y=10x−2
𝑦
=
10
𝑥
−
2
y equals 10 x minus 2

Answer 1

y = 10x − 2

Slope = (58−38)/(6−4) = 20/2 = 10. Using (4,38): 38 = 10(4) + b → b = −2, so y = 10x − 2.