Parallel and perpendicular linesIB MYP Maths Standard: Mind map

Exam questions on Parallel and perpendicular lines

1. 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
2. A line $M$ has equation $2x+4y=8$.
   Determine whether the line $y=2x+7$ is perpendicular to $M$. Justify your answer.2 marks
3. 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