Question

QUICK PLEASE !!!!!

Find the equation of the linear function represented by the table below in slope-intercept form.

Answer 1

y = 3x + 3

Explanation:

The slope-intercept form of an equation of a line:

`y=mx+b`

m - slope

b - y-intercept

The formula of a slope:

`m=(y_2-y_1)/(x_2-x_1)`

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From the table we have :

x = 1 → y = 6

x = 2 → y = 9

x = 3 → y = 12

x = 4 → y = 15

Calculate the slope (choice any two pairs, and calculate the slope):

(1, 6), (2, 9)

`m=(9-6)/(2-1)=(3)/(1)=3`

We have the equation:

`y=3x+b`

Put the coordinates of the point (1, 6) to the equation, and solve it for b:

`6=3(1)+b`

`6=3+b` subtract 3 from both sides

`3=b\to b=3`

Finally:

`y=3x+3`