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

1 Answer
Mar 14, 2018

Answer:

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]}