Question

Please help
the slope of f(-1)=3.2 and f(2.6)=-8.6
(show your work)

Answer 1

Your two points are
`(-1, 3.2)` and
`(2.6, -8.6)`

The slope
`m` is the difference in
`y` over the difference in
`x`

So we have

`m=((-8.6)-(3.2))/((2.6)-(-1))`
⇒
`m=(-8.6-3.2)/(2.6+1)`
⇒
`m=(-11.8)/(3.6)`

As a fraction, this is
`-(59)/(18)`

As a decimal, this is about -3.27777...

For the y-intercept, you use

`y=mx+b`

Plug in the coordinates of one of the points and also the slope
We'll use
`(-1, 3.2)`


`3.2=-3.2777(-1)+b`
⇒
`3.2=3.2777+b`
⇒
`b=-0.07777...`

which I believe comes out to
`-(7)/(90)`