x y

Question

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

(1 point)
Responses

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

y=10x−2
y equals 10 x minus 2

y=10x+2
y equals 10 x plus 2

y=x+34

Answer 1

In order to determine the equation of the linear function that models the relationship shown in the table, we first need to find the slope (m) and the y-intercept (b) using the provided data points (4, 38) and (6, 58).

First, we calculate the slope:
m = (58 - 38) / (6 - 4)
m = 20 / 2
m = 10

Next, we substitute one of the points into the equation of a line (y = mx + b) to find the y-intercept:
58 = 10 * 6 + b
58 = 60 + b
b = -2

Therefore, the equation of the linear function that models the relationship shown in the table is:
y = 10x - 2

So, the correct answer is:
y = 10x - 2