194k views
5 votes
The coordinates of A, B, and C in the diagram are A(p,4), B(6,1), and C(9,q). Which equation correctly relates p and q?

Hint: Since AB is perpendicular to BC , the slope of AB x the slope of BC = -1.

This is a PLATO math question, will give 15 pts

attached is the diagram

answer choices:


A.
p − q = 7
B.
q − p = 7
C.
-q − p = 7
D.
p + q = 7

User BjornS
by
8.4k points

2 Answers

0 votes

Answer:

D. p + q = 7

Explanation:

Just did this quiz on edmentum :P

User Kuppu
by
8.0k points
7 votes

Answer:

D. p + q = 7

Explanation:

The slope of AB is ...

slope AB = (1 -4)/(6 -p) = 3/(p -6)

The slope of BC is ...

slope BC = (q -1)/(9 -6) = (q -1)/3

The product of these is -1, so we have ...

(slope AB)·(slope BC) = -1 = (3/(p -6))·((q -1)/3)

Multiplying by q -1 gives ...

-(q -1) = p -6 . . . . . . the factors of 3 in numerator and denominator cancel

1 = p + q -6 . . . . . . add q

7 = p + q . . . . . . . . add 6 . . . . matches choice D

User Paul Odeon
by
8.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories