How do you find the x and y intercepts of x+5y=-15?

Aug 20, 2017

See a solution process below:

Explanation:

To find the intercepts substitute $0$ for one variable and solve for the other.

x-intercept:

Substitute $0$ for $y$ and solve for $x$:

$x + 5 y = - 15$ becomes:

$x + \left(5 \cdot 0\right) = - 15$

$x + 0 = - 15$

$x = - 15$ or #(-15, 0)

y-intercept:

Substitute $0$ for $x$ and solve for $y$:

$x + 5 y = - 15$ becomes:

$0 + 5 y = - 15$

$5 y = - 15$

$\frac{5 y}{\textcolor{red}{5}} = - \frac{15}{\textcolor{red}{5}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{5}}} y}{\cancel{\textcolor{red}{5}}} = - 3$

$y = - 3$ or $\left(0 , - 3\right)$