DEVELOP.MATH(3 VOLS) CUSTOM-W/MML <IC<
DEVELOP.MATH(3 VOLS) CUSTOM-W/MML <IC<
16th Edition
ISBN: 9781323235911
Author: BITTINGER
Publisher: Pearson Custom Publishing
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Chapter G, Problem 1DE
To determine

To calculate: The equation of the line where the slope is m=3 and contains the point (5,4).

Expert Solution & Answer
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Answer to Problem 1DE

Solution:

The equation of the line where the slope is m=3 and contains the point (5,4) is y=3x11.

Explanation of Solution

Given Information:

The slope is m=3 and the point is (5,4).

Formula used:

The point-slope equation of a line that has slope m and passing point (x1,y1) is denoted by the formula;

yy1=m(xx1)

Calculation:

Here, slope is m=3 and the point is (5,4).

That is, (x1,y1)=(5,4).

As the point-slope equation of a line that has slope m and passing point (x1,y1) is denoted by the formula;

yy1=m(xx1)

Thus, it becomes;

y4=3(x(5))y4=3(x+5)y4=3x15y=3x11

Hence, the equation of the line where the slope is m=3 and contain the point (5,4) is y=3x11.

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