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

1 Answer
Mar 1, 2018

Answer:

The x-intercept is #(0,0)#.

The y-intercept is #(0,0)#.

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=2x#

Divide both sides by #0#.

#0/2=(2x)/x#

Simplify.

#0=x#

x-intercept: #(0,0)#

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

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

#y=2(0)#

Simplify.

#y=0#

y-intercept: #(0,0)#

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