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 \(y = 4x -3\) [ m=-\(\frac{1}{4}\)]

Q1) Workout the equation of the perpendicular line passing through A(1,3) and B(5,35) at point B. [ L1 y = 8x -5 L2 y= -\(\frac{1}{8}\)x +35\(\frac{5}{8}\)]

Q1) 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]

Q2) Find the slope of a line perpendicular to \(y = 4x -1\) [ m=-\(\frac{1}{4}\)]

Q2) Workout the equation of the perpendicular line passing through A(4,7) and B(5,8) at point B. [ L1 y = x + 3 L2 y= -x +13]

Q2) Workout the equation of the perpendicular line passing through A(4,12) and B(6,14) at the midpoint of AB [ L1 y = x + 8 (5,13) L2 y= -x +18]

Q3) Find the slope of a line perpendicular to \(y = 3x\) [ m=-\(\frac{1}{3}\)]

Q3) Workout the equation of the perpendicular line passing through A(8,2) and B(13,12) at point B. [ L1 y = 2x -14 L2 y= -\(\frac{1}{2}\)x +18\(\frac{1}{2}\)]

Q3) Workout the equation of the perpendicular line passing through A(8,1) and B(12,5) at the midpoint of AB [ L1 y = x -7 (10,3) L2 y= -x +13]

Q4) Find the slope of a line perpendicular to \(y = x -3\) [ m=-1]

Q4) Workout the equation of the perpendicular line passing through A(5,5) and B(10,55) at point B. [ L1 y = 10x -45 L2 y= -\(\frac{1}{10}\)x +56]

Q4) Workout the equation of the perpendicular line passing through A(9,4) and B(11,14) at the midpoint of AB [ L1 y = 5x -41 (10,9) L2 y= -\(\frac{1}{5}\)x +11]

Q5) Find the slope of a line perpendicular to \(y = 3x -8\) [ m=-\(\frac{1}{3}\)]

Q5) Workout the equation of the perpendicular line passing through A(1,1) and B(3,19) at point B. [ L1 y = 9x -8 L2 y= -\(\frac{1}{9}\)x +19\(\frac{1}{3}\)]

Q5) Workout the equation of the perpendicular line passing through A(2,5) and B(6,9) at the midpoint of AB [ L1 y = x + 3 (4,7) L2 y= -x +11]

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

Q6) Workout the equation of the perpendicular line passing through A(1,4) and B(6,54) at point B. [ L1 y = 10x -6 L2 y= -\(\frac{1}{10}\)x +54\(\frac{3}{5}\)]

Q6) Workout the equation of the perpendicular line passing through A(6,5) and B(10,21) at the midpoint of AB [ L1 y = 4x -19 (8,13) L2 y= -\(\frac{1}{4}\)x +15]

Q7) Find the slope of a line perpendicular to \(y = x -2\) [ m=-1]

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

Q7) Workout the equation of the perpendicular line passing through A(5,2) and B(7,14) at the midpoint of AB [ L1 y = 6x -28 (6,8) L2 y= -\(\frac{1}{6}\)x +9]

Q8) Find the slope of a line perpendicular to \(y = 4x -7\) [ m=-\(\frac{1}{4}\)]

Q8) Workout the equation of the perpendicular line passing through A(8,4) and B(10,22) at point B. [ L1 y = 9x -68 L2 y= -\(\frac{1}{9}\)x +23\(\frac{1}{9}\)]

Q8) Workout the equation of the perpendicular line passing through A(4,3) and B(8,15) at the midpoint of AB [ L1 y = 3x -9 (6,9) L2 y= -\(\frac{1}{3}\)x +11]

Q9) Find the slope of a line perpendicular to \(y = 5x -3\) [ m=-\(\frac{1}{5}\)]

Q9) Workout the equation of the perpendicular line passing through A(3,3) and B(8,43) at point B. [ L1 y = 8x -21 L2 y= -\(\frac{1}{8}\)x +44]

Q9) Workout the equation of the perpendicular line passing through A(8,1) and B(12,9) at the midpoint of AB [ L1 y = 2x -15 (10,5) L2 y= -\(\frac{1}{2}\)x +10]

Q10) Find the slope of a line perpendicular to \(y = 5x -17\) [ m=-\(\frac{1}{5}\)]

Q10) Workout the equation of the perpendicular line passing through A(5,3) and B(9,15) at point B. [ L1 y = 3x -12 L2 y= -\(\frac{1}{3}\)x +18]

Q10) Workout the equation of the perpendicular line passing through A(3,9) and B(7,29) at the midpoint of AB [ L1 y = 5x -6 (5,19) L2 y= -\(\frac{1}{5}\)x +20]