How do you find the x and y intercept of 5x-y=35?

Jan 18, 2017

See the entire process below:

Explanation:

To find the x-intercept substitute $\textcolor{red}{0}$ for $\textcolor{red}{y}$ and solve for $x$:

$5 x - \textcolor{red}{y} = 35$ becomes:

$5 x - \textcolor{red}{0} = 35$

$5 x = 35$

$\frac{5 x}{\textcolor{red}{5}} = \frac{35}{\textcolor{red}{5}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{5}}} x}{\cancel{\textcolor{red}{5}}} = 7$

$x = 7$

To find the y-intercept substitute $\textcolor{red}{0}$ for $\textcolor{red}{x}$ and solve for $y$:

$5 \textcolor{red}{x} - y = 35$ becomes:

$\left(5 \times \textcolor{red}{0}\right) - y = 35$

$0 - y = 35$

$- y = 35$

$\textcolor{red}{- 1} \times - y = \textcolor{red}{- 1} \times 35$

$y = - 35$

The x-intercept is $7$ or (7, 0)

The y-intercept is $- 35$ or (0, -35)