Question

How do you write the equation in point slope form given Point: (-2, 4); Slope: 5?

Answer 1

`(y-4)=5(x+2)`

Explanation:

For a line with slope `color(green)(m)` through the point `(x,y)=(color(red)(a),color(blue)(b))`
the general slope-point form is
`color(white)("XXX")(y-color(blue)(b))=color(green)(m)(x-color(red)(a))`

Substitute
`color(white)("XXX")5` for `color(green)(m)`
`color(white)("XXX")(-2)` for `color(red)(a)`
and
`color(white)("XXX")4` for `color(blue)(b)`
to get the "Answer" (above)