Beginning Algebra: Early Graphing (4th Edition)
Beginning Algebra: Early Graphing (4th Edition)
4th Edition
ISBN: 9780134178974
Author: John Tobey Jr., Jeffrey Slater, Jamie Blair, Jenny Crawford
Publisher: PEARSON
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Chapter B, Problem 1E
To determine

To find: The equation of the line that passes through the point (6,4) and has a slope m=23.

Expert Solution & Answer
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Answer to Problem 1E

Solution: The equation of the line which passes through the point (6,4) and slope m=23 is y=23x+8.

Explanation of Solution

Given: The points through which the line passes is (6,4) and the slope is m=23.

Formula used:

The formula of straight line passing through the given point and having the given slope is,

(yy1)=m(xx1)

Where,

y1 is the point on y-axis.

x1 is the point on x-axis.

Calculations:

Substitute 4 for y1, 6 for x1 and 23 for m to find the equation of the line.

(y4)=23(x6)(y4)=23x+4y=23x+8

The equation of line that passes through the given point and has the given slope is y=23x+8.

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