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 \(y = 4x -7\) [ m=-\(\frac{1}{4}\)]

Q1) Workout the equation of the perpendicular line passing through A(1,1) and B(4,22) at point B. [ L1 y = 7x -6 L2 y= -\(\frac{1}{7}\)x +22\(\frac{4}{7}\)]

Q1) Workout the equation of the perpendicular line passing through A(2,2) and B(4,8) at the midpoint of AB [ L1 y = 3x -4 (3,5) L2 y= -\(\frac{1}{3}\)x +6]

Q2) Find the slope of a line perpendicular to \(y = 5x -8\) [ m=-\(\frac{1}{5}\)]

Q2) Workout the equation of the perpendicular line passing through A(1,1) and B(2,4) at point B. [ L1 y = 3x -2 L2 y= -\(\frac{1}{3}\)x +4\(\frac{2}{3}\)]

Q2) Workout the equation of the perpendicular line passing through A(6,4) and B(10,12) at the midpoint of AB [ L1 y = 2x -8 (8,8) L2 y= -\(\frac{1}{2}\)x +12]

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

Q3) Workout the equation of the perpendicular line passing through A(5,2) and B(10,37) at point B. [ L1 y = 7x -33 L2 y= -\(\frac{1}{7}\)x +38\(\frac{3}{7}\)]

Q3) Workout the equation of the perpendicular line passing through A(4,8) and B(8,16) at the midpoint of AB [ L1 y = 2x +0 (6,12) L2 y= -\(\frac{1}{2}\)x +15]

Q4) Find the slope of a line perpendicular to \(y = 4x -5\) [ m=-\(\frac{1}{4}\)]

Q4) Workout the equation of the perpendicular line passing through A(1,1) and B(6,36) at point B. [ L1 y = 7x -6 L2 y= -\(\frac{1}{7}\)x +36\(\frac{6}{7}\)]

Q4) 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]

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(2,8) and B(6,32) at point B. [ L1 y = 6x -4 L2 y= -\(\frac{1}{6}\)x +33]

Q5) Workout the equation of the perpendicular line passing through A(2,1) and B(6,5) at the midpoint of AB [ L1 y = x -1 (4,3) L2 y= -x +7]

Q6) Find the slope of a line perpendicular to \(y = 4x -3\) [ m=-\(\frac{1}{4}\)]

Q6) Workout the equation of the perpendicular line passing through A(6,2) and B(8,14) at point B. [ L1 y = 6x -34 L2 y= -\(\frac{1}{6}\)x +15\(\frac{1}{3}\)]

Q6) Workout the equation of the perpendicular line passing through A(2,9) and B(6,17) at the midpoint of AB [ L1 y = 2x + 5 (4,13) L2 y= -\(\frac{1}{2}\)x +15]

Q7) Find the slope of a line perpendicular to \(y = x -4\) [ m=-1]

Q7) Workout the equation of the perpendicular line passing through A(2,2) and B(6,38) at point B. [ L1 y = 9x -16 L2 y= -\(\frac{1}{9}\)x +38\(\frac{2}{3}\)]

Q7) Workout the equation of the perpendicular line passing through A(5,8) and B(7,10) at the midpoint of AB [ L1 y = x + 3 (6,9) L2 y= -x +15]

Q8) Find the slope of a line perpendicular to \(y = 4x -3\) [ m=-\(\frac{1}{4}\)]

Q8) Workout the equation of the perpendicular line passing through A(3,4) and B(8,44) at point B. [ L1 y = 8x -20 L2 y= -\(\frac{1}{8}\)x +45]

Q8) Workout the equation of the perpendicular line passing through A(7,9) and B(9,17) at the midpoint of AB [ L1 y = 4x -19 (8,13) L2 y= -\(\frac{1}{4}\)x +15]

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(5,1) and B(10,26) at point B. [ L1 y = 5x -24 L2 y= -\(\frac{1}{5}\)x +28]

Q9) 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]

Q10) Find the slope of a line perpendicular to \(y = 4x -14\) [ m=-\(\frac{1}{4}\)]

Q10) Workout the equation of the perpendicular line passing through A(3,2) and B(5,8) at point B. [ L1 y = 3x -7 L2 y= -\(\frac{1}{3}\)x +9\(\frac{2}{3}\)]

Q10) Workout the equation of the perpendicular line passing through A(2,10) and B(6,18) at the midpoint of AB [ L1 y = 2x + 6 (4,14) L2 y= -\(\frac{1}{2}\)x +16]