
Concept explainers
a.
To write : the slope intercepts form of the equation of the line.
a.

Answer to Problem 3CLT
The slope intercept form of the equation is x=37
Explanation of Solution
Given information :
The slope of the line is undefined and it passes through the point (37,18)
Calculation :
Use the point slope equation
m=(y−y1)(x−x1)1m=(x−x1)(y−y1)
Since, m is undefined so, 1m=0
Therefore,
0=(x−x1)(y−y1)(x−x1)=0
The line is passing through (37,18).
So, the equation of the line having undefined slope and passing through (37,18) is obtained as:
(x−37)=0x=37
Hence,
The equation of the line is x=37.
b.
To find : the additional points through which the line passes.
b.

Answer to Problem 3CLT
The additional points through which the line passes are (37,2),(37,−14),(37,5)
Explanation of Solution
Given information :
The slope of the line is undefined and it passes through the point (37,18)
Calculation :
The equation of line passing through (37,18) and slope m=undefined ,
x=37
So, the line is parallel to the Y-axis.
The coordinate of the points which lie on the line must be equal to (37,n) where n is all real numbers.
Hence,
The three points through which the line passes are as follows:
(37,2),(37,−14),(37,5)
Chapter 3 Solutions
Precalculus with Limits: A Graphing Approach
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