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 \(y = 2x -6\) [ m=-\(\frac{1}{2}\)]

Q1) Workout the equation of the perpendicular line passing through A(4,2) and B(5,3) at point B. [ L1 y = x -2 L2 y= -x +8]

Q1) Workout the equation of the perpendicular line passing through A(7,2) and B(11,6) at the midpoint of AB [ L1 y = x -5 (9,4) L2 y= -x +13]

Q2) Find the slope of a line perpendicular to \(y = 2x -1\) [ m=-\(\frac{1}{2}\)]

Q2) Workout the equation of the perpendicular line passing through A(4,2) and B(7,23) at point B. [ L1 y = 7x -26 L2 y= -\(\frac{1}{7}\)x +24]

Q2) Workout the equation of the perpendicular line passing through A(5,1) and B(7,13) at the midpoint of AB [ L1 y = 6x -29 (6,7) L2 y= -\(\frac{1}{6}\)x +8]

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

Q3) Workout the equation of the perpendicular line passing through A(2,4) and B(7,19) at point B. [ L1 y = 3x -2 L2 y= -\(\frac{1}{3}\)x +21\(\frac{1}{3}\)]

Q3) Workout the equation of the perpendicular line passing through A(6,4) and B(10,20) at the midpoint of AB [ L1 y = 4x -20 (8,12) L2 y= -\(\frac{1}{4}\)x +14]

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

Q4) Workout the equation of the perpendicular line passing through A(1,1) and B(4,4) at point B. [ L1 y = x +0 L2 y= -x +8]

Q4) Workout the equation of the perpendicular line passing through A(11,2) and B(15,6) at the midpoint of AB [ L1 y = x -9 (13,4) L2 y= -x +17]

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

Q5) Workout the equation of the perpendicular line passing through A(9,1) and B(14,36) at point B. [ L1 y = 7x -62 L2 y= -\(\frac{1}{7}\)x +38]

Q5) Workout the equation of the perpendicular line passing through A(4,2) and B(8,14) at the midpoint of AB [ L1 y = 3x -10 (6,8) L2 y= -\(\frac{1}{3}\)x +10]

Q6) Find the slope of a line perpendicular to \(y = 5x -32\) [ m=-\(\frac{1}{5}\)]

Q6) 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\(\frac{1}{2}\)]

Q6) Workout the equation of the perpendicular line passing through A(6,1) and B(10,17) at the midpoint of AB [ L1 y = 4x -23 (8,9) L2 y= -\(\frac{1}{4}\)x +11]

Q7) Find the slope of a line perpendicular to \(y = 3x -2\) [ m=-\(\frac{1}{3}\)]

Q7) Workout the equation of the perpendicular line passing through A(10,9) and B(11,15) at point B. [ L1 y = 6x -51 L2 y= -\(\frac{1}{6}\)x +16\(\frac{5}{6}\)]

Q7) Workout the equation of the perpendicular line passing through A(4,4) and B(8,8) at the midpoint of AB [ L1 y = x +0 (6,6) L2 y= -x +12]

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

Q8) Workout the equation of the perpendicular line passing through A(3,3) and B(4,7) at point B. [ L1 y = 4x -9 L2 y= -\(\frac{1}{4}\)x +8]

Q8) Workout the equation of the perpendicular line passing through A(10,2) and B(14,26) at the midpoint of AB [ L1 y = 6x -58 (12,14) L2 y= -\(\frac{1}{6}\)x +16]

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

Q9) Workout the equation of the perpendicular line passing through A(1,1) and B(4,13) at point B. [ L1 y = 4x -3 L2 y= -\(\frac{1}{4}\)x +14]

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

Q10) Find the slope of a line perpendicular to \(y = 3x + 2\) [ m=-\(\frac{1}{3}\)]

Q10) Workout the equation of the perpendicular line passing through A(2,1) and B(3,11) at point B. [ L1 y = 10x -19 L2 y= -\(\frac{1}{10}\)x +11\(\frac{3}{10}\)]

Q10) Workout the equation of the perpendicular line passing through A(4,7) and B(8,31) at the midpoint of AB [ L1 y = 6x -17 (6,19) L2 y= -\(\frac{1}{6}\)x +20]