Question

what is the slope of a line that is perpendicular to the line shown (0,3) (3,2)

A) 3
B) 2/3
C) -1/3
D) -3

Answer 1

It would be 3 because the slope of the given line is -1/3 and a line perpendicular is the negative reciprocal so 3/1 or 3. Hope this helps!

Answer 2

The correct answer is option A) 3.

How to find slope of the line?

We know that the slope of the line joining two points (x 1,y 1) and (x 2,y2) is:

$m=y_{2} -y_{1} /x_{2}-x_{1}$

​

Here, the given points are (0,3) and (3,2), therefore, the slope of the line is:

$m=y_{2} -y_{1} /x_{2}-x_{1}$ = 2-3 / 3-0   = -1 /3

= -1 / 3

​

We also know that if the slope of the two lines has the relation m1 × m2 = −1,

then the lines are perpendicular to each other, therefore, the slope m2 of the line perpendicular to the given line is:

m1 × m2 =−1

⇒   −1/3 × m2 = −1

⇒   −1/3 m2 = −1

⇒   m2 = 3/1

⇒   m2 = 3

​

Hence, the slope of the line perpendicular to the given line is 3.

Learn more about the slope of a line here: brainly.com/question/16949303

#SPJ2