# How do you find the x and y intercepts of y=4x-2?

Jan 31, 2017

See the entire explanation below:

#### Explanation:

Because this equation is in the slope-intercept form you can obtain the y-intercept directly from the equation.

The slope-intercept form of a linear equation is:

$y = \textcolor{red}{m} x + \textcolor{b l u e}{b}$

or in this case:

$y = \textcolor{red}{4} x - \textcolor{b l u e}{2}$

Where $\textcolor{red}{m}$ is the slope and $\textcolor{b l u e}{b}$ is the y-intercept value.

Therefore the y-intercept is $- 2$ or $\left(0 , - 2\right)$

To find the x-intercept we set $y$ equal to $0$ and solve for $x$:

$0 = 4 x - 2$

$0 + 2 = 4 x - 2 + 2$

$2 = 4 x - 0$

$2 = 4 x$

$\frac{2}{4} = \frac{4 x}{4}$

$\frac{1}{2} = \frac{\cancel{4} x}{\cancel{4}}$

$\frac{1}{2} = x$ or $x = \frac{1}{2}$

Therefore the x-intercept is $\frac{1}{2}$ or $\left(\frac{1}{2} , 0\right)$