Question

How do you write an equation in point slope form that passes through (9,10) with slope -5?

Answer 1

In general, the point slope form of a linear equation is
`color(white)("XXXX")` `y-haty = m(x-hatx)`
`color(white)("XXXX")` `color(white)("XXXX")`where `m` is the slope
`color(white)("XXXX")` `color(white)("XXXX")`and `(hatx,haty)` is the point.

For a line passing through `(9,10)` with a slope of `(-5)` this is
`color(white)("XXXX")` `y-10 = (-5)(x-9)`