Question

What is the slope of a line perpendicular to line b?

A. -5/2
B.-5/3
C.-2/5
D. -1

Answer 1

line B : (3,5)(-1,-5)
slope = (-5-5) / (-1-3) = -10/-4 = 5/2...slope here is 5/2
A perpendicular line will have a negative reciprocal slope. To find the negative reciprocal of a number, flip the number and change the sign, So our perpendicular line will have a slope of -2/5

Answer 2

C. -2/5

Explanation:

hello

first, we need to know the slope of the line b, we can use the slope equation to find it, because two points on the line are known

Let

Point 1 (3,5)

point 2 (-1,-5)

where

`m=(Y2-Y1)/(X2-X1) \\m=(5-(-5)))/(3-(-1)) \\m=(10)/(4)=(5)/(2)\\m_(1) =(5)/(2)`

Now,A perpendicular line will have a negative reciprocal slope,so

`m_(1)*m_(2)=-1\\and\ isolating\\\ m_(2)=(-1)/(m_(1) ) \\m_(2) =(-1)/((5)/(2) )} \\m_(2)=-(2)/(5)`

the answer is C.-2/5

Have a great day