Question

Use the table to answer the question.

Linear Function Equation Based on Given x and y Values
x
y

4 38
6 58
Write the equation of the linear function that models the relationship shown in the table.

(1 point)
Responses

y=10x−2

y equals 10 x minus 2

y=x+34

y equals x plus 34

y=−10x+78

y equals negative 10 x plus 78

y=10x+2

y equals 10 x plus 2
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Answer 1

y = 10x − 2

Work: slope m = (58−38)/(6−4) = 20/2 = 10. Using point (4,38): y−38 = 10(x−4) → y = 10x − 2.