Question

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

Answer 1

`y=4x+4`

Explanation:

Using the points
`(1,8)` and
`(2,12)`,

`m=(12-8)/(2-1)=4 \\ \\ y-8=4(x-1) \\ \\ y-8=4x-4 \\ \\ y=4x+4`

Answer 2

Answer: y=4x+4

Explanation:

To find the equation of the linear line, we can take any two points and use them in the slope formula which is
`m=(y_2-y_1)/(x_2-x_1)`. After that, we can plug that and any point into y=mx+b to find the y-intercept to complete the equation.

Slope

`m=(12-8)/(2-1) =(4)/(1) =4`

Now we know that m=4.

`y=4x+b` [plug in any point]

`8=4(1)+b` [multiply]

`8=4+b` [subtract both sides by 4]

`b=4`

With all our pieces, we can fill in our equation.

y=4x+4