Chapter 1.2, Problem 17AYU

In Problems 11-22, find the intercepts and graph each equation by plotting points. Be sure to label the intercepts.

$y=x+2$

To determine

To find: The intercepts and graph of the equation $y=x+2$.

Answer to Problem 17AYU

The $\left(-2,0\right)$ and $\left(0,2\right)$ are the intercept.

Explanation of Solution

Given:

The equation $y=x+2$

Calculation:

First, find the intercepts of $y=x+2$. When $x=0$, then $y=2$; and when $y=0$, then $x=-2$. The $\left(-2,0\right)$ and $\left(0,2\right)$ are the intercept.

To graph by hand, use the equation to obtain several points on the graph. Points on the graph could also be obtained using the TABLE feature.

$x$	$y=x+2$	$\left(x,y\right)$
0	2	$\left(0,2\right)$
1	3	$\left(1,3\right)$
2	4	$\left(2,4\right)$
3	5	$\left(3,5\right)$

The graph is given below.