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Chapter 1: Q. 12 (page 24)

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

y=x-6.

Short Answer

Expert verified

The intercepts are :

x-intercept is 6,0and y-intercept is0,-6

Step by step solution

01

Given information:

Consider the equation,

y=x-6

02

To find the x-intercept:

Let y=0in the equation,

Then 0=x-6

0+6=x-6+6[ add 6 on both sides. ]

6=x

The solution is x=6.

localid="1646397146487" x-interceptis6,0.

03

To find the y-intercept:

Let x=0in the equation,

Then y=0-6

y=-6

localid="1646397199966" y-interceptis0,-6.

04

To draw the graph:

We can draw the graph of the equation y=x-6by plotting the above intercepts and the points in the table below,

xy=x-6
x,y
4-24,-2
2-42,-4
-2-8-2,-8
-4-10-4,-10

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