Question

How do you graph `y= -2x`?

Answer 1

Refer to the explanation.

Explanation:

Graph:

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

`y=mx+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 `(0,0)`.

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

`0=-2x`

Divide both sides by `-2`.

`0/(-2)=x`

`0=x`

The x-intercept is `0` and the point is `(0,0)`.

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]}