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Chapter 1: Q. 14 (page 24)

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

y=3x-9.

Short Answer

Expert verified

The intercepts are :

x-intercept is 3,0and y-intercept is0,-9

Step by step solution

01

Given information:

Consider the equation,

y=3x-9.

02

To find the x-intercept:

Let y=0in the equation,

Then 0=3x-9

0+9=3x-9+9 [ Add 9 on both sides. ]

9=3x

3x3=93 [ Divide by 3 on both sides. ]

x=3

localid="1646398491531" x-interceptis3,0.

03

To find the y-intercept:

Let x=0in the equation,

Then y=3脳0-9

y=-9

localid="1646398539079" y-interceptis0,-9.

04

To draw the graph:

We can draw the graph of the equation y=3x-9by plotting the above intercepts and the points in the table below,

xy=3x-9
x,y
-1-12-1,-12
1-61,-6
2-32,-3

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Most popular questions from this chapter

Plot each point. Then plot the point that is symmetric to it with respect to -

(a) the x-axis

(b) the y-axis

(c) the origin

Point (3, 4)

What can you say about two lines with the same x-intercept and the same y-intercept Assume that the x-intercept is not 0.

Plot each pair of points and determine the slope of the line containing them. Graph the line by hand.

(-3,-1);(2,-1)

Plot each pair of points and determine the slope of the line containing them. Graph the line by hand.

(2,0);(2,2)

Plot each pair of points and determine the slope of the line containing them. Graph the line by hand.

(-2,3);(2,1)
See all solutions

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