Question

What’s the answer to this please?

Answer 1

ANSWER

C. Yes, their slopes have product -1

EXPLANATION

The slope of the line connecting

P(1,3) and Q(7,8) is


$= \frac{8 - 3}{7 - 1}$

$= \frac{5}{6}$

The slope of the line connecting
R(5,-7) and S(10,-13) is

$= \frac{ - 13 - - 7}{10 - 5}$


$= - \frac{6}{5}$


Product of the two slopes is

$= \frac{5}{6} \times - \frac{6}{5}$

$= - 1$


Since the product is -1, the slopes are perpendicular.


The correct answer is C.