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Algebra 2
Found in: Page 105
Algebra 2

Algebra 2

Book edition Middle English Edition
Author(s) Carter
Pages 804 pages
ISBN 9780079039903

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Short Answer

Graph the line passing through the given point with the given slope

25. (3,-2),undefined

The graph of the line passing through the point (3,-2) with the undefined slope is

See the step by step solution

Step by Step Solution

Step-1 – Apply the concept of slope of a line

The slope of a line is the ratio of the change in the y-coordinates to the change in the x- coordinates.

Symbolically, the slope m of the line passing through the points x1,y1 and x2,y2 is given by m=y2-y1x2-x1 where x1x2.

Step-2 – Plot the given ordered pair   

The given ordered pair is 3,-2

Hence plot the point in the graph such that the point is 3 unit in the positive x-axis and 2 units in the negative y-axis.

Therefore, the point 3,-2 in the graph is as shown below:

Step-3 – Find a new point using the slope

Given that the slope is undefined.

Slope is said to be undefined only when the denominator in m=y2-y1x2-x1 is zero (i.e) only when x2-x1=0x2=x1. If a slope is undefined then the line will be vertical and hence the line passes through the same value of x and different values of y. That is the value of x remains 3 through the line.

Step-4 – Graph the line

Draw a line passing through the point 3,-2 and parallel to x=3.

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