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How do you find the slope that is perpendicular to the line (4, 19) and (-3, 5)?

Answer 1

Eli Assouline

The slope of the line which is perpendicular to the line #(4, 19); (-3, 5)# is #-1/2#

Given -

#(4, 19); (-3, 5)#

The slope of the given line

#x_1=4# #y_1=19# #x_2=-3# #y_2=5#

#m_1=(y_2-y_1)/(x_2-x_1)=(5-19)/(-3-4)=(-14)/(-7)=2#

The slope of the line which is perpendicular to a given line

#m_2=(-1)/m_1=(-1)/2=-1/2#

The slope of the line which is perpendicular to the line #(4, 19); (-3, 5)# is #-1/2#

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Answer 2

Ethan Adkins

To find the slope perpendicular to the line passing through the points (4, 19) and (-3, 5):

Find the slope of the given line using the formula: ( m = \frac{{y_2 - y_1}}{{x_2 - x_1}} )
Calculate the slope of the given line.
The slope of a line perpendicular to the given line is the negative reciprocal of the slope of the given line.
Find the negative reciprocal of the slope found in step 2 to get the slope of the perpendicular line.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.