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 \(y = 5x -14\) [ m=-\(\frac{1}{5}\)]

Q1) Workout the equation of the perpendicular line passing through A(6,3) and B(10,11) at point B. [ L1 y = 2x -9 L2 y= -\(\frac{1}{2}\)x +16]

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

Q2) Workout the equation of the perpendicular line passing through A(1,6) and B(3,14) at point B. [ L1 y = 4x + 2 L2 y= -\(\frac{1}{4}\)x +14\(\frac{3}{4}\)]

Q2) Workout the equation of the perpendicular line passing through A(7,1) and B(9,3) at the midpoint of AB [ L1 y = x -6 (8,2) L2 y= -x +10]

Q3) Find the slope of a line perpendicular to \(y = 2x + 1\) [ m=-\(\frac{1}{2}\)]

Q3) Workout the equation of the perpendicular line passing through A(3,1) and B(6,22) at point B. [ L1 y = 7x -20 L2 y= -\(\frac{1}{7}\)x +22\(\frac{6}{7}\)]

Q3) Workout the equation of the perpendicular line passing through A(8,3) and B(10,5) at the midpoint of AB [ L1 y = x -5 (9,4) L2 y= -x +13]

Q4) Find the slope of a line perpendicular to \(y = 4x -12\) [ m=-\(\frac{1}{4}\)]

Q4) Workout the equation of the perpendicular line passing through A(3,6) and B(4,10) at point B. [ L1 y = 4x -6 L2 y= -\(\frac{1}{4}\)x +11]

Q4) Workout the equation of the perpendicular line passing through A(7,3) and B(11,7) at the midpoint of AB [ L1 y = x -4 (9,5) L2 y= -x +14]

Q5) Find the slope of a line perpendicular to \(y = 3x -5\) [ m=-\(\frac{1}{3}\)]

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

Q5) Workout the equation of the perpendicular line passing through A(1,3) and B(5,7) at the midpoint of AB [ L1 y = x + 2 (3,5) L2 y= -x +8]

Q6) Find the slope of a line perpendicular to \(y = 3x -2\) [ m=-\(\frac{1}{3}\)]

Q6) Workout the equation of the perpendicular line passing through A(7,7) and B(8,17) at point B. [ L1 y = 10x -63 L2 y= -\(\frac{1}{10}\)x +17\(\frac{4}{5}\)]

Q6) Workout the equation of the perpendicular line passing through A(6,7) and B(10,23) at the midpoint of AB [ L1 y = 4x -17 (8,15) L2 y= -\(\frac{1}{4}\)x +17]

Q7) Find the slope of a line perpendicular to \(y = x + 8\) [ m=-1]

Q7) Workout the equation of the perpendicular line passing through A(6,6) and B(8,24) at point B. [ L1 y = 9x -48 L2 y= -\(\frac{1}{9}\)x +24\(\frac{8}{9}\)]

Q7) Workout the equation of the perpendicular line passing through A(4,1) and B(6,11) at the midpoint of AB [ L1 y = 5x -19 (5,6) L2 y= -\(\frac{1}{5}\)x +7]

Q8) Find the slope of a line perpendicular to \(y = 2x -2\) [ m=-\(\frac{1}{2}\)]

Q8) Workout the equation of the perpendicular line passing through A(2,4) and B(3,13) at point B. [ L1 y = 9x -14 L2 y= -\(\frac{1}{9}\)x +13\(\frac{1}{3}\)]

Q8) Workout the equation of the perpendicular line passing through A(2,1) and B(4,7) at the midpoint of AB [ L1 y = 3x -5 (3,4) L2 y= -\(\frac{1}{3}\)x +5]

Q9) Find the slope of a line perpendicular to \(y = 5x -2\) [ m=-\(\frac{1}{5}\)]

Q9) Workout the equation of the perpendicular line passing through A(9,2) and B(10,3) at point B. [ L1 y = x -7 L2 y= -x +13]

Q9) Workout the equation of the perpendicular line passing through A(2,3) and B(4,5) at the midpoint of AB [ L1 y = x + 1 (3,4) L2 y= -x +7]

Q10) Find the slope of a line perpendicular to \(y = 5x -23\) [ m=-\(\frac{1}{5}\)]

Q10) Workout the equation of the perpendicular line passing through A(1,3) and B(4,33) at point B. [ L1 y = 10x -7 L2 y= -\(\frac{1}{10}\)x +33\(\frac{2}{5}\)]

Q10) Workout the equation of the perpendicular line passing through A(2,3) and B(6,19) at the midpoint of AB [ L1 y = 4x -5 (4,11) L2 y= -\(\frac{1}{4}\)x +12]