Choose the perpendicular bisector of PQ.

01 / Standard#Your turn

P=(-1,-3),\quad Q=(5,-1)

Official paper · jm01-2021 · I.12 · PDF 3

Skills and prerequisite lessons

Working and explanation

BUILD THE REASONING

Hint 1

Find the midpoint and the slope of PQ.

Hint 2

Use the negative reciprocal slope through the midpoint.

Worked solution

E: 3x+y−4=0.

Checks and common pitfalls: A perpendicular line through an endpoint need not bisect the segment.

Reasoning checklist · self / teacher assessment

Teaching assessment checklist, independently authored. Use the original paper for official marks.
Compute midpoint and segment slope.
$M=(2,-2),\quad m_{PQ}=2/6=1/3$
Write the perpendicular line.
$y+2=-3(x-2)\iff3x+y-4=0$

Think first. Reveal a hint when the class is ready.

2021 JM01