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 \(y = 3x + 2\) [ m=-\(\frac{1}{3}\)]

Q1) Workout the equation of the perpendicular line passing through A(1,4) and B(5,36) at point B. [ L1 y = 8x -4 L2 y= -\(\frac{1}{8}\)x +36\(\frac{5}{8}\)]

Q1) Workout the equation of the perpendicular line passing through A(1,11) and B(3,13) at the midpoint of AB [ L1 y = x + 10 (2,12) L2 y= -x +14]

Q2) Find the slope of a line perpendicular to \(y = 5x -4\) [ m=-\(\frac{1}{5}\)]

Q2) Workout the equation of the perpendicular line passing through A(1,3) and B(5,43) at point B. [ L1 y = 10x -7 L2 y= -\(\frac{1}{10}\)x +43\(\frac{1}{2}\)]

Q2) 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]

Q3) Find the slope of a line perpendicular to \(y = 4x -1\) [ m=-\(\frac{1}{4}\)]

Q3) Workout the equation of the perpendicular line passing through A(4,6) and B(7,27) at point B. [ L1 y = 7x -22 L2 y= -\(\frac{1}{7}\)x +28]

Q3) Workout the equation of the perpendicular line passing through A(3,6) and B(5,8) at the midpoint of AB [ L1 y = x + 3 (4,7) L2 y= -x +11]

Q4) Find the slope of a line perpendicular to \(y = 3x -20\) [ m=-\(\frac{1}{3}\)]

Q4) Workout the equation of the perpendicular line passing through A(2,1) and B(5,16) at point B. [ L1 y = 5x -9 L2 y= -\(\frac{1}{5}\)x +17]

Q4) Workout the equation of the perpendicular line passing through A(2,7) and B(6,15) at the midpoint of AB [ L1 y = 2x + 3 (4,11) L2 y= -\(\frac{1}{2}\)x +13]

Q5) Find the slope of a line perpendicular to \(y = x + 5\) [ m=-1]

Q5) Workout the equation of the perpendicular line passing through A(1,7) and B(3,15) at point B. [ L1 y = 4x + 3 L2 y= -\(\frac{1}{4}\)x +15\(\frac{3}{4}\)]

Q5) Workout the equation of the perpendicular line passing through A(3,2) and B(7,22) at the midpoint of AB [ L1 y = 5x -13 (5,12) L2 y= -\(\frac{1}{5}\)x +13]

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(1,3) and B(5,7) at point B. [ L1 y = x + 2 L2 y= -x +12]

Q6) Workout the equation of the perpendicular line passing through A(8,2) and B(10,4) at the midpoint of AB [ L1 y = x -6 (9,3) L2 y= -x +12]

Q7) Find the slope of a line perpendicular to \(y = 3x -6\) [ m=-\(\frac{1}{3}\)]

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(5,1) and B(7,7) at the midpoint of AB [ L1 y = 3x -14 (6,4) L2 y= -\(\frac{1}{3}\)x +6]

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

Q8) Workout the equation of the perpendicular line passing through A(1,6) and B(4,21) at point B. [ L1 y = 5x + 1 L2 y= -\(\frac{1}{5}\)x +21\(\frac{4}{5}\)]

Q8) Workout the equation of the perpendicular line passing through A(1,1) and B(5,5) at the midpoint of AB [ L1 y = x +0 (3,3) L2 y= -x +6]

Q9) Find the slope of a line perpendicular to \(y = 3x -8\) [ m=-\(\frac{1}{3}\)]

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(1,5) and B(3,7) at the midpoint of AB [ L1 y = x + 4 (2,6) L2 y= -x +8]

Q10) Find the slope of a line perpendicular to \(y = 5x -2\) [ m=-\(\frac{1}{5}\)]

Q10) Workout the equation of the perpendicular line passing through A(1,2) and B(6,7) at point B. [ L1 y = x + 1 L2 y= -x +13]

Q10) Workout the equation of the perpendicular line passing through A(1,1) and B(3,3) at the midpoint of AB [ L1 y = x +0 (2,2) L2 y= -x +4]