Question

Use the table to answer the question. 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+2 y equals 10 x plus 2 y=−10x+78

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the equation of the linear function, we need to determine the slope and y-intercept.

We can find the slope using the formula:

m = (change in y)/(change in x)

m = (58 - 38)/(6 - 4) = 20/2 = 10

Now we can use the slope-intercept form of a linear equation: y = mx + b

Substituting the slope and one of the points (6, 58) into the equation:

58 = 10(6) + b
58 = 60 + b
b = 58 - 60
b = -2

Therefore, the equation of the linear function that models the relationship shown in the table is:

y = 10x - 2