Question

How do you write an equation in point-slope form for the given (-3, 2) and (2, 1)?

Answer 1

Determine the slope between the given points and then plug it and one of the point coordinates into the general point-slope form to get:
`color(white)("XXXX")` `(y-1) = -1/5(x-2)`

Explanation:

Determine slope between `(-3,2)` and `(2,1)`
`color(white)("XXXX")` `m=(Delta y)/(Delta x) = (2-1)/(-3-2) = -1/5`

Insert values into point-slope form
The general point-slope form is
`color(white)("XXXX")` `(y-haty) = m(x-hatx)`
Using the calculated slope and the point `(2,1)` this becomes
`color(white)("XXXX")` `(y-1) = -1/5(x-2)`