Mr Daniels Maths
The Midpoints and perpendicular to a line

Easy

Medium

Difficult

Q1) Find the slope of a line perpendicular to \(y = 2x -4\) m=-\(\frac{1}{2}\)
Q1) Workout the equation of the perpendicular line passing through A(4,2) and B(8,26) at point B. L1 y = 6x -22 L2 y= -\(\frac{1}{6}\)x +27\(\frac{1}{3}\)
Q1) Workout the equation of the perpendicular line passing through A(8,6) and B(12,46) at the midpoint of AB L1 y = 10x -74 (10,26) L2 y= -\(\frac{1}{10}\)x +27
Q2) Find the slope of a line perpendicular to \(y = 2x + 5\) m=-\(\frac{1}{2}\)
Q2) Workout the equation of the perpendicular line passing through A(3,1) and B(7,41) at point B. L1 y = 10x -29 L2 y= -\(\frac{1}{10}\)x +41\(\frac{7}{10}\)
Q2) Workout the equation of the perpendicular line passing through A(5,1) and B(9,29) at the midpoint of AB L1 y = 7x -34 (7,15) L2 y= -\(\frac{1}{7}\)x +16
Q3) Find the slope of a line perpendicular to \(y = 4x + 6\) m=-\(\frac{1}{4}\)
Q3) Workout the equation of the perpendicular line passing through A(6,2) and B(11,7) at point B. L1 y = x -4 L2 y= -x +18
Q3) Workout the equation of the perpendicular line passing through A(2,4) and B(6,12) at the midpoint of AB L1 y = 2x +0 (4,8) L2 y= -\(\frac{1}{2}\)x +10
Q4) Find the slope of a line perpendicular to \(y = x + 6\) m=-1
Q4) Workout the equation of the perpendicular line passing through A(7,4) and B(10,34) at point B. L1 y = 10x -66 L2 y= -\(\frac{1}{10}\)x +35
Q4) Workout the equation of the perpendicular line passing through A(1,5) and B(5,9) at the midpoint of AB L1 y = x + 4 (3,7) L2 y= -x +10
Q5) Find the slope of a line perpendicular to \(y = x\) m=-1
Q5) Workout the equation of the perpendicular line passing through A(3,3) and B(7,27) at point B. L1 y = 6x -15 L2 y= -\(\frac{1}{6}\)x +28\(\frac{1}{6}\)
Q5) Workout the equation of the perpendicular line passing through A(1,1) and B(3,5) at the midpoint of AB L1 y = 2x -1 (2,3) L2 y= -\(\frac{1}{2}\)x +4
Q6) Find the slope of a line perpendicular to \(y = 3x -8\) m=-\(\frac{1}{3}\)
Q6) Workout the equation of the perpendicular line passing through A(5,2) and B(10,22) at point B. L1 y = 4x -18 L2 y= -\(\frac{1}{4}\)x +24\(\frac{1}{2}\)
Q6) Workout the equation of the perpendicular line passing through A(3,1) and B(7,21) at the midpoint of AB L1 y = 5x -14 (5,11) L2 y= -\(\frac{1}{5}\)x +12
Q7) Find the slope of a line perpendicular to \(y = 4x -3\) m=-\(\frac{1}{4}\)
Q7) Workout the equation of the perpendicular line passing through A(1,1) and B(5,37) at point B. L1 y = 9x -8 L2 y= -\(\frac{1}{9}\)x +37\(\frac{5}{9}\)
Q7) Workout the equation of the perpendicular line passing through A(6,9) and B(10,13) at the midpoint of AB L1 y = x + 3 (8,11) L2 y= -x +19
Q8) Find the slope of a line perpendicular to \(y = 2x + 2\) m=-\(\frac{1}{2}\)
Q8) Workout the equation of the perpendicular line passing through A(1,2) and B(2,5) at point B. L1 y = 3x -1 L2 y= -\(\frac{1}{3}\)x +5\(\frac{2}{3}\)
Q8) Workout the equation of the perpendicular line passing through A(3,1) and B(5,3) at the midpoint of AB L1 y = x -2 (4,2) L2 y= -x +6
Q9) Find the slope of a line perpendicular to \(y = 2x -1\) m=-\(\frac{1}{2}\)
Q9) Workout the equation of the perpendicular line passing through A(7,4) and B(8,7) at point B. L1 y = 3x -17 L2 y= -\(\frac{1}{3}\)x +9\(\frac{2}{3}\)
Q9) Workout the equation of the perpendicular line passing through A(10,7) and B(14,15) at the midpoint of AB L1 y = 2x -13 (12,11) L2 y= -\(\frac{1}{2}\)x +17
Q10) Find the slope of a line perpendicular to \(y = 2x\) m=-\(\frac{1}{2}\)
Q10) Workout the equation of the perpendicular line passing through A(5,5) and B(8,8) at point B. L1 y = x +0 L2 y= -x +16
Q10) Workout the equation of the perpendicular line passing through A(2,3) and B(6,7) at the midpoint of AB L1 y = x + 1 (4,5) L2 y= -x +9