Question

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

Answer 1

y=-5x+1

Explanation:

First lets identify what slope intercept form looks like:

y=mx+b

m=slope

b=y-intercept

the y-intercept would be at (0,1)

choose 2 points from the graph and lets find the slope.

The formula for slope is:

`(y_(2) - y_(1))/(x_(2) - x_(1) )`

The points we will be using will be (1,-4) and (2,-9)

so -9 will be
`y_(2)` and -4 is
`y_(1)`

2 is
`x_(2\\)` and 1 is
`x_(1)`

set up the equation.

`(-9-(-4))/(2-1)`

`(-5)/(1)`

m = -5

So the slope is -5 and the y-intercept is 1

[To find the y-intercept all you have to do is find what y is counting by. In this is would be -5. Go backwards one on the table so x is 0 and take away -5 and it will give you 1 which would be the intercept]

So the equation will be

y=-5x+1

Now when you want to solve it you plug in the x and y values for the table but it doesn't ask you to do that,

I've included a picture so you have a visual.

If you need further assistance, don't be afraid to reach out. Hope this helps!