Parallel and perpendicular linesIB MYP Maths Extended: Flashcards

What these 12 flashcards ask

What is true about the gradients of parallel lines?
What is true about the gradients of perpendicular lines?
How do you find a perpendicular gradient?
Gradient of a line perpendicular to y=3x-2?
Gradient of a line perpendicular to y=-\frac12x+2?
Gradient of a line parallel to y=3x-2?
What is the gradient of 2x+4y=8?
Are y=2x+7 and y=-\frac12x+1 perpendicular?
Equation parallel to y=3x-2 through (2,1)?
What are the steps for a perpendicular line through a point?
Why does a perpendicular line give the shortest distance?
Do parallel lines ever meet?

Exam questions on Parallel and perpendicular lines

A line $L$ has equation $y=3x-2$ .
Find the equation of the line parallel to $L$ that passes through the point $(2,1)$ .2 marks
A line $M$ has equation $2x+4y=8$ .
Determine whether the line $y=2x+7$ is perpendicular to $M$ . Justify your answer.2 marks
A line $p$ has equation $y=\frac12x+1$ , and $P$ is the point $(4,5)$ .
Find the equation of the line through $P$ that is perpendicular to $p$ .3 marks

Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).