Parallel and perpendicular linesEdexcel International A Level Maths: Mind map

Exam questions on Parallel and perpendicular lines

1. The line $l_1$ has equation $2x+5y=10$.
   Find an equation of the line parallel to $l_1$ that passes through the point $(5,-1)$.2 marks
2. The line $l_2$ passes through the points $A(1,2)$ and $B(5,10)$.
   Find an equation of the line through $A$ that is perpendicular to $l_2$, giving your answer in the form $ax+by+c=0$ with integer $a$, $b$ and $c$.2 marks
3. The line $l$ has equation $4x+3y=24$. It passes through the points $A(6,0)$ and $B(0,8)$.
   Find an equation of the line through $A$ that is perpendicular to $l$, giving your answer in the form $ax+by+c=0$ with integer $a$, $b$ and $c$.3 marks