Mr Daniels Maths
The Midpoints and perpendicular to a line

Set 1

Set 2

Set 3

Q1) Find the slope of a line perpendicular to \(y = 4x -9\) [ m=-\(\frac{1}{4}\)]

Q1) Workout the equation of the perpendicular line passing through A(6,3) and B(10,39) at point B. [ L1 y = 9x -51 L2 y= -\(\frac{1}{9}\)x +40\(\frac{1}{9}\)]

Q1) Workout the equation of the perpendicular line passing through A(1,4) and B(5,16) at the midpoint of AB [ L1 y = 3x + 1 (3,10) L2 y= -\(\frac{1}{3}\)x +11]

Q2) Find the slope of a line perpendicular to \(y = x + 1\) [ m=-1]

Q2) Workout the equation of the perpendicular line passing through A(6,1) and B(8,5) at point B. [ L1 y = 2x -11 L2 y= -\(\frac{1}{2}\)x +9]

Q2) Workout the equation of the perpendicular line passing through A(5,8) and B(7,12) at the midpoint of AB [ L1 y = 2x -2 (6,10) L2 y= -\(\frac{1}{2}\)x +13]

Q3) Find the slope of a line perpendicular to \(y = x + 7\) [ m=-1]

Q3) Workout the equation of the perpendicular line passing through A(1,2) and B(6,42) at point B. [ L1 y = 8x -6 L2 y= -\(\frac{1}{8}\)x +42\(\frac{3}{4}\)]

Q3) Workout the equation of the perpendicular line passing through A(4,7) and B(6,9) at the midpoint of AB [ L1 y = x + 3 (5,8) L2 y= -x +13]

Q4) Find the slope of a line perpendicular to \(y = 2x + 5\) [ m=-\(\frac{1}{2}\)]

Q4) Workout the equation of the perpendicular line passing through A(2,5) and B(5,8) at point B. [ L1 y = x + 3 L2 y= -x +13]

Q4) 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]

Q5) Find the slope of a line perpendicular to \(y = 4x -2\) [ m=-\(\frac{1}{4}\)]

Q5) Workout the equation of the perpendicular line passing through A(1,2) and B(4,20) at point B. [ L1 y = 6x -4 L2 y= -\(\frac{1}{6}\)x +20\(\frac{2}{3}\)]

Q5) Workout the equation of the perpendicular line passing through A(6,3) and B(8,17) at the midpoint of AB [ L1 y = 7x -39 (7,10) L2 y= -\(\frac{1}{7}\)x +11]

Q6) Find the slope of a line perpendicular to \(y = 3x -22\) [ m=-\(\frac{1}{3}\)]

Q6) Workout the equation of the perpendicular line passing through A(3,3) and B(5,23) at point B. [ L1 y = 10x -27 L2 y= -\(\frac{1}{10}\)x +23\(\frac{1}{2}\)]

Q6) Workout the equation of the perpendicular line passing through A(2,5) and B(6,13) at the midpoint of AB [ L1 y = 2x + 1 (4,9) L2 y= -\(\frac{1}{2}\)x +11]

Q7) Find the slope of a line perpendicular to \(y = 3x -1\) [ m=-\(\frac{1}{3}\)]

Q7) Workout the equation of the perpendicular line passing through A(1,10) and B(4,13) at point B. [ L1 y = x + 9 L2 y= -x +17]

Q7) Workout the equation of the perpendicular line passing through A(1,4) and B(5,8) at the midpoint of AB [ L1 y = x + 3 (3,6) L2 y= -x +9]

Q8) Find the slope of a line perpendicular to \(y = 3x\) [ m=-\(\frac{1}{3}\)]

Q8) Workout the equation of the perpendicular line passing through A(2,5) and B(7,35) at point B. [ L1 y = 6x -7 L2 y= -\(\frac{1}{6}\)x +36\(\frac{1}{6}\)]

Q8) Workout the equation of the perpendicular line passing through A(6,3) and B(8,5) at the midpoint of AB [ L1 y = x -3 (7,4) L2 y= -x +11]

Q9) Find the slope of a line perpendicular to \(y = 2x -8\) [ m=-\(\frac{1}{2}\)]

Q9) Workout the equation of the perpendicular line passing through A(6,7) and B(8,9) at point B. [ L1 y = x + 1 L2 y= -x +17]

Q9) Workout the equation of the perpendicular line passing through A(2,2) and B(4,4) at the midpoint of AB [ L1 y = x +0 (3,3) L2 y= -x +6]

Q10) Find the slope of a line perpendicular to \(y = 5x + 1\) [ m=-\(\frac{1}{5}\)]

Q10) Workout the equation of the perpendicular line passing through A(1,2) and B(4,5) at point B. [ L1 y = x + 1 L2 y= -x +9]

Q10) Workout the equation of the perpendicular line passing through A(4,3) and B(8,27) at the midpoint of AB [ L1 y = 6x -21 (6,15) L2 y= -\(\frac{1}{6}\)x +16]