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Q2.

Expert-verified
Found in: Page 205

### Algebra 1

Book edition Student Edition
Author(s) Carter, Cuevas, Day, Holiday, Luchin
Pages 801 pages
ISBN 9780078884801

# Graph each equation.$y=x+2$

The graph of the equation $y=x+2$ is:

See the step by step solution

## Step 1. Find the x and y-intercepts of the equation y=x+2.

To find the x-intercept, substitute 0 for y and find the value of x.

$y=x+2\phantom{\rule{0ex}{0ex}}0=x+2\phantom{\rule{0ex}{0ex}}-2=x$

Therefore, the x-intercept is $-2$.

As, the x-intercept is $-2$ that means the graph of $y=x+2$ will intersect the x-axis at $\left(-2,0\right)$.To find the y-intercept, substitute 0 for x and find the value of y.

$y=x+2\phantom{\rule{0ex}{0ex}}y=0+2\phantom{\rule{0ex}{0ex}}y=2$

Therefore, the y-intercept is 2.

As, the y-intercept is 2 that means the graph of $y=x+2$ will intersect the y-axis at $\left(0,2\right)$.

## Step 2. Draw the graph of the equation y=x+2.

Draw the graph of the equation $y=x+2$ by using the information that the graph of the equation $y=x+2$ is a line passing through the points $\left(-2,0\right)$ and $\left(0,2\right)$.

Therefore, the graph of the equation $y=x+2$ is:

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