Question

Find the equation of the linear function represented by the table below in

slope-intercept form.
х

-1
-5
2
8

y
-5
7
19
31

Answer 1

y= -1/3+ 5.3

Explanation:

You take any two sets of points and do the formula
`(Y2-Y1)/(X2-X1)`

I chose ( -1,-5) as X1 and Y1 and (-5,7) as X2 and Y2.

Plug that into the formula and you should get
`(-1)/(3)`. That is your slope.

To find y intercept we use the formula
`y= mx + b`.

We know our slope which is m, and to find y-intercept we use any point that was given to use in place of x and y in the formula. I used (-5,7).

Which looks like
`7= (-1)/(3)(-5) + b`.

After solving for b you should get 5.3

Final answer should be y= -1/3+ 5.3

Hoped this helped