BackClose

Select a Subject

Subject Test Math 1

Question 28 of 32

beginning of content:
Tags:
SAT Subject Test

If line ell is the perpendicular bisector of the line segment with endpoints left parenthesis 2 comma 0 right parenthesis and left parenthesis 0 comma negative 2 right parenthesis, what is the slope of line ell?

Select an Answer

2

Correct Answer: 
No

1

Correct Answer: 
No

0

Correct Answer: 
No

negative 1

Correct Answer: 
Yes

negative 2

Correct Answer: 
No

The correct answer is D.

Since line ell is perpendicular to the line segment with endpoints left parenthesis 2 comma 0 right parenthesis and left parenthesis 0 comma negative 2 right parenthesis, the slope of line ell must be the negative reciprocal of the slope of the line segment. The line segment has slope fraction numerator 0 minus left parenthesis negative 2 right parenthesis over denominator 2 minus 0 end fraction equals 1, so the slope of line ell equals negative fraction numerator 1 over denominator 1 end fraction equals negative 1.

Question Difficulty: 
hard