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Q2.

Expert-verified

Algebra 1

Found in: Page 205

Book edition Student Edition

Author(s) Carter, Cuevas, Day, Holiday, Luchin

Pages 801 pages

ISBN 9780078884801

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Short Answer

Graph each equation.
$y = x + 2$

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

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

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.

$y = x + 2 0 = x + 2 - 2 = x$

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 $(- 2, 0)$ .To find the y-intercept, substitute 0 for x and find the value of y.

$y = x + 2 y = 0 + 2 y = 2$

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 $(0, 2)$ .

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 $(- 2, 0)$ and $(0, 2)$ .

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

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