# How do you find the x and y intercepts of 3.5x=10.5?

Apr 26, 2017

See the solution process below:

#### Explanation:

Divide each side of the equation by $\textcolor{red}{3.5}$ to isolate the $x$ term:

$\frac{3.5 x}{\textcolor{red}{3.5}} = \frac{10.5}{\textcolor{red}{3.5}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{3.5}}} x}{\cancel{\textcolor{red}{3.5}}} = 3$

$x = 3$

By definition this is a vertical line where $x$ has a value of $3$ for every value of $y$ including when $y = 0$. Therefore:

The x-intercept is $3$ or $\left(3 , 0\right)$

Because this is a vertical line at $x = 3$ there is no y-intercept.