Find both the x- and y- intercepts and the graph of y=2+2x.

Question

Find both the x- and y- intercepts and the graph of y=2+2x.

Answer 1

The intercepts are where the line crosses one of the axis. That happens when either x or y is 0. The y-intercept is when x is 0 and the x-axis is when y is 0. So, to find the y-intercept, plug 0 in for x and you get:

 

y=2+2(0)

y=2

The point is (0,2)

 

To find the x-intercept, plug 0 in for y:

 

0=2+2x

2x=-2

x=-1

The point is (-1,0)