Question

How do you write the slope intercept form for (-2,9) and (1,6)?

Answer 1

`y=(-1)x+7`

Explanation:

A line through the points `(-2,9)` and `(1,6)`
has a slope of `color(magenta)m=(Deltay)/(Deltax)=(9-6)/(-2-1)=3/(-3)=color(magenta)(-1)`
and
using the point `(1,6)`
a slope point form of
`color(white)("XXX")(y-6)=color(magenta)(-1)(x-1)`
The requested slope-intercept form must look like
`color(white)("XXX")y=color(magenta)mx+color(blue)b`

`ycolor(green)(-6)=color(magenta)(-1)(x-1)`
`color(white)("XXX")rArr y=color(magenta)(-1)x+1color(green)(+6)`
or
`color(white)("XXX")y=color(magenta)(-1)x+color(blue)7`