Concept explainers
To find:
The equation of the line that is perpendicular to the given line and passes through
Answer to Problem 41E
The equation of perpendicular lineto our given line is
Explanation of Solution
Given:
An equation:
Concept used:
We know that the slope of a perpendicular line to a given line is negative reciprocal of the slope of the given line. The product of slopes of two perpendicular lines is -1.
The equation of a line in slope-intercept form is
Calculation:
Let mbe the slope of perpendicular line to our given line.
We can see from our given equation that it is in slope-intercept form and its slope is
We will find the slope of perpendicular line to our given line as shown below:
So, the slope of perpendicular line to our given line is
Now we will substitute the slope and y -intercept
Therefore, the equation of perpendicular lineto our given line is
Chapter 8 Solutions
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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