How do you find the x and y intercept of 5x + 6y = −30?

Aug 12, 2016

x-intercept = - 6
y-intercept = -5

Explanation:

This is the equation of a line.
When the line crosses the x-axis, $\textcolor{b l u e}{\text{x-intercept}}$, the value of the y-coordinate will be zero. Substituting y = 0 into the equation and solving for x gives the x-intercept.

y=0 : 5x+0=-30$\Rightarrow x = - 6 \text{ x-intercept}$

Similarly when the line crosses the y-axis, $\textcolor{b l u e}{\text{y-intercept}}$, the value of the x-coordinate will be zero.

x = 0 : 0 + 6y = - 30 $\Rightarrow y = - 5 \text{ y-intercept}$
graph{-5/6x-5 [-10, 10, -5, 5]}