Question

How do you find the slope that is perpendicular to the line `3x + 2y=6`?

Answer 1

`color(green)("Slope of perpendicular line " m_1 = -(1/m) = 2/3`

Explanation:

Standard slope - intercept form equation is `y = m x + c`

Given equation is `3x + 2y = 6`

`2y = -3x + 6`

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

`:. Slope " " m = -(3/2)`

`color(green)("Slope of perpendicular line " m_1 = -(1/m) = 2/3`