# How do you find the x and y intercepts for y=2x?

Mar 1, 2018

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

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

This means that the line passes through the origin.

#### Explanation:

The x-intercept is the value of $x$ when $y = 0$.

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

$0 = 2 x$

Divide both sides by $0$.

$\frac{0}{2} = \frac{2 x}{x}$

Simplify.

$0 = x$

x-intercept: $\left(0 , 0\right)$

The y-intercept is the value of $y$ when $x = 0$.

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

$y = 2 \left(0\right)$

Simplify.

$y = 0$

y-intercept: $\left(0 , 0\right)$

graph{y=2x [-10, 10, -5, 5]}