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Proving Relationships of Parallel and Perpendicular Lines

Proving Relationships of Parallel and Perpendicular Lines 1.14 - Solution

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Let's identify the slope of the given line. To do so, we will write it in slope-intercept form. This will help us to find which on is the perpendicular line.
Write in slope-intercept form
As a result, the slope of the given line is Remember that if the product of the slopes of the lines is then they are perpendicular. Since we know the slope of the given line, let's substitute it into the equation above and find the slope of a perpendicular line.
Thus, a perpendicular line must have the slope of Let's write the equation of each line in slope-intercept form and determine their slopes.
Choice Given Line Slope-intercept Form Slope
A
B
C
D

As we can see, the line has a slope of Therefore, it is perpendicular to the given line. This corresponds to choice A.