# How do you graph y= -2x?

Mar 14, 2018

Refer to the explanation.

#### Explanation:

Graph:

$y = - 2 x$ is a linear equation in slope-intercept form:

$y = m x + b ,$

where:

$m$ is the slope and $b$ is the y-intercept.

Determine the x- and y-intercepts.

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

According to the slope-intercept equation, the y-intercept in the given equation is $0$, and the point is $\left(0 , 0\right)$.

To determine the x-intercept, substitute $0$ for $y$ and solve for $x$.

$0 = - 2 x$

Divide both sides by $- 2$.

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

$0 = x$

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

The line will go through the origin.

Plot the x- and y-intercepts and draw a straight line through them.

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