Question

A line has a slope of -4/5. Which ordered pairs could be points on a line that is perpendicular to this line? Select two options.

A - (–2, 0) and (2, 5)

B - (–4, 5) and (4, –5)

C - (–3, 4) and (2, 0)

D - (1, –1) and (6, –5)

E - (2, –1) and (10, 9)

Answer 1

C

Explanation:

=(0-4)/(2+3)

=-4/5

Answer 2

A and E

Explanation:

A line has a slope of -4/5, then a perpendicular line has a slope 5/4, because

`-(4)/(5)\cdot (5)/(4)=-1`

Find the slopes of the lines in all options:

A. True

`(5-0)/(2-(-2))=(5)/(4)`

B. False

`(-5-5)/(4-(-4))=-(5)/(4)`

C. False

`(0-4)/(2-(-3))=-(4)/(5)`

D. False

`(-5-(-1))/(6-1)=-(4)/(5)`

E. True

`(9-(-1))/(10-2)=(5)/(4)`