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A line segment has a slope of -3/4. What is the slope of a line perpendicular to this line segment

User DSharper
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2 Answers

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Answer:

The slope of line perpendicular to the line segment that has a slope of
(-3)/(4) is
(4)/(3)

Explanation:

Given,

The line segment has a slope of
(-3)/(4).

To find:

The slope of the line that is perpendicular to the given line segment.

Now,

Let suppose a line
L_1 has a slope
m_1 and line
L_2 has a slope
m_2.

Condition for perpendicularity:

If the product of the slopes of these lines equals -1, then the lines are perpendicular to each other.

Therefore, apply the above condition to our question.

So,


\begin{aligned}(-3)/(4)*{\rm{slope\;of\;perpendicular\;line}}&=-1\\{\rm{slope\;of\;perpendicular\;line}}&=(4)/(3)\end{aligned}

User Pedro Paulo Amorim
by
8.3k points
3 votes

Answer:

The slope of the line perpendicular to the line segment having slope
-(3)/(4) is
(4)/(3)

Explanation:

Given the slope of the line perpendicular to the line segment is
-(3)/(4)

The expressions for the slope of line which are perpendicular to each other is given as
m_(1) m_(2) =-1

So the slope of the perpendicular line will be


m_(2) =-(1)/(m_(1) )


m_(2) =-(1)/(-(3)/(4) )


m_(2) =(4)/(3)

User David Thielen
by
7.9k points

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