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 \(y = 5x -4\) [ m=-\(\frac{1}{5}\)]

Q1) Workout the equation of the perpendicular line passing through A(1,1) and B(3,7) at point B. [ L1 y = 3x -2 L2 y= -\(\frac{1}{3}\)x +8]

Q1) 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]

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

Q2) Workout the equation of the perpendicular line passing through A(5,5) and B(10,15) at point B. [ L1 y = 2x -5 L2 y= -\(\frac{1}{2}\)x +20]

Q2) Workout the equation of the perpendicular line passing through A(4,1) and B(6,3) at the midpoint of AB [ L1 y = x -3 (5,2) L2 y= -x +7]

Q3) Find the slope of a line perpendicular to \(y = 5x -13\) [ m=-\(\frac{1}{5}\)]

Q3) Workout the equation of the perpendicular line passing through A(1,1) and B(4,10) at point B. [ L1 y = 3x -2 L2 y= -\(\frac{1}{3}\)x +11\(\frac{1}{3}\)]

Q3) Workout the equation of the perpendicular line passing through A(1,2) and B(5,6) at the midpoint of AB [ L1 y = x + 1 (3,4) L2 y= -x +7]

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

Q4) Workout the equation of the perpendicular line passing through A(2,7) and B(6,31) at point B. [ L1 y = 6x -5 L2 y= -\(\frac{1}{6}\)x +32]

Q4) Workout the equation of the perpendicular line passing through A(10,5) and B(14,9) at the midpoint of AB [ L1 y = x -5 (12,7) L2 y= -x +19]

Q5) Find the slope of a line perpendicular to \(y = x + 3\) [ m=-1]

Q5) Workout the equation of the perpendicular line passing through A(5,1) and B(6,11) at point B. [ L1 y = 10x -49 L2 y= -\(\frac{1}{10}\)x +11\(\frac{3}{5}\)]

Q5) Workout the equation of the perpendicular line passing through A(7,4) and B(9,8) at the midpoint of AB [ L1 y = 2x -10 (8,6) L2 y= -\(\frac{1}{2}\)x +10]

Q6) Find the slope of a line perpendicular to \(y = 2x -11\) [ m=-\(\frac{1}{2}\)]

Q6) Workout the equation of the perpendicular line passing through A(4,1) and B(5,3) at point B. [ L1 y = 2x -7 L2 y= -\(\frac{1}{2}\)x +5\(\frac{1}{2}\)]

Q6) Workout the equation of the perpendicular line passing through A(1,2) and B(3,6) at the midpoint of AB [ L1 y = 2x +0 (2,4) L2 y= -\(\frac{1}{2}\)x +5]

Q7) Find the slope of a line perpendicular to \(y = 5x -14\) [ m=-\(\frac{1}{5}\)]

Q7) Workout the equation of the perpendicular line passing through A(7,7) and B(9,17) at point B. [ L1 y = 5x -28 L2 y= -\(\frac{1}{5}\)x +18\(\frac{4}{5}\)]

Q7) Workout the equation of the perpendicular line passing through A(2,4) and B(4,6) at the midpoint of AB [ L1 y = x + 2 (3,5) L2 y= -x +8]

Q8) Find the slope of a line perpendicular to \(y = 3x -7\) [ m=-\(\frac{1}{3}\)]

Q8) Workout the equation of the perpendicular line passing through A(3,6) and B(4,15) at point B. [ L1 y = 9x -21 L2 y= -\(\frac{1}{9}\)x +15\(\frac{4}{9}\)]

Q8) Workout the equation of the perpendicular line passing through A(4,5) and B(8,17) at the midpoint of AB [ L1 y = 3x -7 (6,11) L2 y= -\(\frac{1}{3}\)x +13]

Q9) Find the slope of a line perpendicular to \(y = 4x -1\) [ m=-\(\frac{1}{4}\)]

Q9) Workout the equation of the perpendicular line passing through A(1,4) and B(4,7) at point B. [ L1 y = x + 3 L2 y= -x +11]

Q9) 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]

Q10) Find the slope of a line perpendicular to \(y = 2x -7\) [ m=-\(\frac{1}{2}\)]

Q10) Workout the equation of the perpendicular line passing through A(3,2) and B(6,26) at point B. [ L1 y = 8x -22 L2 y= -\(\frac{1}{8}\)x +26\(\frac{3}{4}\)]

Q10) Workout the equation of the perpendicular line passing through A(4,6) and B(8,14) at the midpoint of AB [ L1 y = 2x -2 (6,10) L2 y= -\(\frac{1}{2}\)x +13]