3: Parallel and Perpendicular Lines
A line has the equation \( y=-2 / 3 x+5 \).
a) Write the equation of a line parallel to this line and passing through point ( \( 0,-1 \) ). (1 mark)
b) Write the equation of a line perpendicular to the given line and passing through ( 3,4 ). (1 mark)
4: Coordinates and Geometry
Triangle \( P Q R \) has vertices \( P(1,1), Q(5,3) \), and \( R(3,7) \).
a) Show that triangle \( P Q R \) is isosceles by calculating side lengths.
b) Find the area of triangle PQR using coordinate geometry.
Section B: Quadratic Equations (10 Marks)