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Chapter 3: Q2. (page 205)

Graph each equation.

y=x+2

Short Answer

Expert verified

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

Step by step solution

01

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+20=x+2鈭�2=x

Therefore, the x-intercept is -2.

As, the x-intercept is -2that means the graph of y=x+2 will intersect the x-axis at 鈭�2,0.To find the y-intercept, substitute 0 for x and find the value of y.

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

Therefore, the y-intercept is 2.

As, the y-intercept is 2 that means the graph ofy=x+2 will intersect the y-axis at 0,2.

02

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

Draw the graph of the equationy=x+2 by using the information that the graph of the equationy=x+2 is a line passing through the points鈭�2,0 and 0,2.

Therefore, the graph of the equationy=x+2 is:

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