Question

How do you write the equation in point slope form passing through (-5, -2) and parallel to the line whose equation is `y=-3x+4`?

Answer 1

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

Explanation:

because the new line is parallel, it will have the same slope as the original equation.
slope`= -3`

we know the slope and a point, so we can use the point slope formula:
`y-y_1=m(x-x_1)`
`y_1` is the y coodinate,
`x_1` is the x coordinate,
and m is the slope

plug the values in
`y+2=-3(x+5)`