Question

Find the intercepts and graph each equation by plotting points. Be sure to label the intercepts.

y = x + 2

Short answer

The intercepts are :

x-intercept is $(-2,0)$and y-intercept is $(0,2)$.

Step-by-step solution

Given information:

Consider the equation,

y = x + 2

To find the x-intercept:

Let $y=0$in the given equation,

Then, $0=x+2$

$0-2=x+2-2$ [ add (-2) on both sides. ]

$-2=x$

The solution is $x=-2$.

localid="1646285727502" $x-inteceptis(-2,0).$

To find the y-intercept:

Let $x=0$in the given equation,

then $y=0+2$

$y=2$

localid="1646285758638" $y-interceptis(0,2).$

To draw the graph:

We can draw the graph of the equation $y=x+2$by plotting the above intercepts and the points in the table below,

x	$y=x+2$	$\left(x,y\right)$
-1	1	$\left(-1,1\right)$
1	3	$\left(1,3\right)$
2	4	$\left(2,4\right)$