Question

Reduce the equation 6x + 3y + 8 = 0 into slope-intercept form. Hence, find its slope.

Answer 1

Given equation is 6x + 3y + 8 = 0, which can be written as
3y = – 6x – 8

∴ y = ${\displaystyle \frac{-6x}{3}-\frac{8}{3}}$

∴ y = ${\displaystyle -2x-\frac{8}{3}}$

This is of the form y = mx + c with m = – 2

∴ y = ${\displaystyle -2x-\frac{8}{3}}$ is in slope-intercept form with slope = – 2.