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 \(y = 3x -18\) [ m=-\(\frac{1}{3}\)]

Q1) Workout the equation of the perpendicular line passing through A(3,1) and B(4,11) at point B. [ L1 y = 10x -29 L2 y= -\(\frac{1}{10}\)x +11\(\frac{2}{5}\)]

Q1) 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]

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

Q2) Workout the equation of the perpendicular line passing through A(4,2) and B(7,26) at point B. [ L1 y = 8x -30 L2 y= -\(\frac{1}{8}\)x +26\(\frac{7}{8}\)]

Q2) Workout the equation of the perpendicular line passing through A(2,3) and B(6,7) at the midpoint of AB [ L1 y = x + 1 (4,5) L2 y= -x +9]

Q3) Find the slope of a line perpendicular to \(y = 4x + 2\) [ m=-\(\frac{1}{4}\)]

Q3) Workout the equation of the perpendicular line passing through A(1,1) and B(5,21) at point B. [ L1 y = 5x -4 L2 y= -\(\frac{1}{5}\)x +22]

Q3) Workout the equation of the perpendicular line passing through A(3,2) and B(5,10) at the midpoint of AB [ L1 y = 4x -10 (4,6) L2 y= -\(\frac{1}{4}\)x +7]

Q4) Find the slope of a line perpendicular to \(y = 5x -9\) [ m=-\(\frac{1}{5}\)]

Q4) Workout the equation of the perpendicular line passing through A(3,1) and B(6,31) at point B. [ L1 y = 10x -29 L2 y= -\(\frac{1}{10}\)x +31\(\frac{3}{5}\)]

Q4) Workout the equation of the perpendicular line passing through A(11,4) and B(13,6) at the midpoint of AB [ L1 y = x -7 (12,5) L2 y= -x +17]

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(1,1) and B(5,37) at point B. [ L1 y = 9x -8 L2 y= -\(\frac{1}{9}\)x +37\(\frac{5}{9}\)]

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

Q6) Find the slope of a line perpendicular to \(y = 5x -4\) [ m=-\(\frac{1}{5}\)]

Q6) Workout the equation of the perpendicular line passing through A(4,2) and B(7,32) at point B. [ L1 y = 10x -38 L2 y= -\(\frac{1}{10}\)x +32\(\frac{7}{10}\)]

Q6) Workout the equation of the perpendicular line passing through A(3,1) and B(7,21) at the midpoint of AB [ L1 y = 5x -14 (5,11) L2 y= -\(\frac{1}{5}\)x +12]

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

Q7) Workout the equation of the perpendicular line passing through A(1,1) and B(2,6) at point B. [ L1 y = 5x -4 L2 y= -\(\frac{1}{5}\)x +6\(\frac{2}{5}\)]

Q7) Workout the equation of the perpendicular line passing through A(11,2) and B(13,6) at the midpoint of AB [ L1 y = 2x -20 (12,4) L2 y= -\(\frac{1}{2}\)x +10]

Q8) Find the slope of a line perpendicular to \(y = 2x -9\) [ m=-\(\frac{1}{2}\)]

Q8) Workout the equation of the perpendicular line passing through A(3,1) and B(4,9) at point B. [ L1 y = 8x -23 L2 y= -\(\frac{1}{8}\)x +9\(\frac{1}{2}\)]

Q8) Workout the equation of the perpendicular line passing through A(7,7) and B(9,9) at the midpoint of AB [ L1 y = x +0 (8,8) L2 y= -x +16]

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

Q9) Workout the equation of the perpendicular line passing through A(5,1) and B(6,3) at point B. [ L1 y = 2x -9 L2 y= -\(\frac{1}{2}\)x +6]

Q9) Workout the equation of the perpendicular line passing through A(11,1) and B(13,3) at the midpoint of AB [ L1 y = x -10 (12,2) L2 y= -x +14]

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(5,1) and B(9,13) at point B. [ L1 y = 3x -14 L2 y= -\(\frac{1}{3}\)x +16]

Q10) Workout the equation of the perpendicular line passing through A(10,1) and B(12,3) at the midpoint of AB [ L1 y = x -9 (11,2) L2 y= -x +13]