Question

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

$y=2x+8$.

Short answer

The intercepts are :

x-intercept is $\left(-4,0\right)$and y-intercept is$\left(0,8\right)$

Step-by-step solution

Given information:

Consider the equation,

$y=2x+8$.

To find the x-intercept:

Let $y=0$in the equation,

Then $0=2x+8$

$0-8=2x+8-8$ [ add (-8) on both sides. ]

$-8=2x$

$\frac{2x}{2}=\frac{-8}{2}$ [ Divide by 2 on both sides. ]

$x=-4$

localid="1646398049828" $x-interceptis\left(-4,0\right).$

To find the y-intercept:

Let $x=0$in the equation,

Then $y=2\times 0+8$

$y=8$

localid="1646398076551" $y-interceptis\left(0,8\right).$

To draw the graph:

We can draw the graph of the equation $y=2x+8$by plotting the above intercepts and the points in the table below,

x	$y=2x+8$	$\left(x,y\right)$
-6	-4	$\left(-6,-4\right)$
-2	4	$\left(-2,4\right)$
2	12	$\left(2,12\right)$