Equations of straight linesEdexcel A-Level Maths: Mind map

Exam questions on Equations of straight lines

1. The line $l_1$ passes through the points $A(1,4)$ and $B(5,12)$.
   Find an equation of the line through $C(6,0)$ that is perpendicular to $l_1$, giving your answer in the form $ax+by+c=0$, where $a$, $b$ and $c$ are integers.2 marks
2. The line $l$ has equation $3x-4y+12=0$.
   The line $l$ meets the coordinate axes at the points $X$ and $Y$. Find the area of triangle $OXY$, where $O$ is the origin.2 marks
3. The points $P(-2,1)$, $Q(4,5)$ and $R(6,2)$ are the vertices of a triangle.
   Show that $PQ$ is perpendicular to $QR$.3 marks