Question

How do you write an equation of the line in point slope form with (5,-1); m=-2/3?

Answer 1

`y+1 = (-2/3)(x-5)`

Explanation:

For a line with slope `m` through a point `(p,q)`
the point-slope form of the linear equation is
`color(white)("XXXX")` `y-q = m(x-p)`

and we are given:
`color(white)("XXXX")` `m= (-2/3)`
`color(white)("XXXX")` `color(white)("XXXX")`and
`color(white)("XXXX")` `(p,q) = (5,-1)`