The slope of line m is 7/8. If n⊥m, what is the slope of line n?
A) 7/8
B) 8/7
C) -7/8
D) -8/7

[tex]k:y=m_1x+b\\l:y=m_2x+c\\\\l\ \perp\ k\iff m_1m_2=-1[/tex]
We have:
[tex]m_1=\dfrac{7}{8};\ m_2=?[/tex]
Substitute:
[tex]\dfrac{7}{8}m_2=-1\ \ \ \ |\cdot\dfrac{8}{7}\\\\m_2=-\dfrac{8}{7}[/tex]
Answer: D)

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1rstar 1rstar · Answer 2 · 2018-06-08T06:30:38+02:00

1rstar 1rstar

08-06-2018

Hey there !

When two lines are perpendicular , the product of their slope is -1 ,

m1 × m2 = -1
7/8 × m2 = -1

m2 = -8/7 Ans.

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The slope of line m is 7/8. If n⊥m, what is the slope of line n? A) 7/8 B) 8/7 C) -7/8 D) -8/7

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The slope of line m is 7/8. If n⊥m, what is the slope of line n?
A) 7/8
B) 8/7
C) -7/8
D) -8/7