# What are the intercepts of the line y = 5x - 10?

Jul 25, 2018

The $x$-intercept is at $\left(2 , 0\right)$ and the $y$-intercept is at $\left(0 , - 10\right)$.

#### Explanation:

To find the $x$-intercept, plug in $0$ for $y$:
$0 = 5 x - 10$

Solve for $x$. Add $\textcolor{b l u e}{10}$ to both sides:
$10 = 5 x$

Divide both sides by $\textcolor{b l u e}{5}$:
$\frac{10}{\textcolor{b l u e}{5}} = \frac{5 x}{\textcolor{b l u e}{5}}$

$2 = x$

Therefore,
$x = 2$

The $x$-intercept is at $\left(2 , 0\right)$.

To find the $y$-intercept, plug in $0$ for $x$:
$y = 5 \left(0\right) - 10$

Solve for $y$. Simplify:
$y = 0 - 10$

$y = - 10$

The $y$-intercept is at $\left(0 , - 10\right)$.

Hope this helps!