Question

How do you write an equation of a line in slope intercept form if the line has a slope of `-2/3` and contains the point `(2,-2)`?

Answer 1

`2x + 3y + 2 = 0`

Explanation:

`Slope = m = -2/3, (x_1, y_1) = (2, -2)`

#

`"Point - Slope Form " (y - y_1) = m * (x - x_1)`

`y + 2 = -(2/3) * ( x - 2)`

`3y + 6 = -2x + 4`

`2x + 3y + 2 = 0`