Question

How do you find an equation of the line that passes through (3,-1) and (-2,9) and write the equation using function notation?

Answer 1

If a point passes through points `(3,-1)` and `(-2,9)`
its slope is `m=(Delta y)/(Delta x) = (9-(-1))/((-2)-3) = -2`

The general form of a line passing through `(3,-1)` with as slope of `(-2)` is
`color(white)("XXXX")` `y-(-1) = (-2)(x-3)`
which simplifies as
`color(white)("XXXX")` `y = 5-2x`

in function notation:
`color(white)("XXXX")` `f(x) = 5-2x`