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

Q1) 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\(\frac{1}{2}\)]

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

Q2) Find the slope of a line perpendicular to \(y = 4x -13\) [ m=-\(\frac{1}{4}\)]

Q2) Workout the equation of the perpendicular line passing through A(1,5) and B(6,45) at point B. [ L1 y = 8x -3 L2 y= -\(\frac{1}{8}\)x +45\(\frac{3}{4}\)]

Q2) Workout the equation of the perpendicular line passing through A(1,10) and B(3,14) at the midpoint of AB [ L1 y = 2x + 8 (2,12) L2 y= -\(\frac{1}{2}\)x +13]

Q3) Find the slope of a line perpendicular to \(y = 5x -39\) [ m=-\(\frac{1}{5}\)]

Q3) Workout the equation of the perpendicular line passing through A(1,8) and B(2,15) at point B. [ L1 y = 7x + 1 L2 y= -\(\frac{1}{7}\)x +15\(\frac{2}{7}\)]

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

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

Q4) Workout the equation of the perpendicular line passing through A(1,2) and B(2,8) at point B. [ L1 y = 6x -4 L2 y= -\(\frac{1}{6}\)x +8\(\frac{1}{3}\)]

Q4) Workout the equation of the perpendicular line passing through A(8,6) and B(10,12) at the midpoint of AB [ L1 y = 3x -18 (9,9) L2 y= -\(\frac{1}{3}\)x +12]

Q5) Find the slope of a line perpendicular to \(y = 3x -8\) [ m=-\(\frac{1}{3}\)]

Q5) Workout the equation of the perpendicular line passing through A(3,5) and B(7,25) at point B. [ L1 y = 5x -10 L2 y= -\(\frac{1}{5}\)x +26\(\frac{2}{5}\)]

Q5) Workout the equation of the perpendicular line passing through A(3,8) and B(5,12) at the midpoint of AB [ L1 y = 2x + 2 (4,10) L2 y= -\(\frac{1}{2}\)x +12]

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(2,7) and B(7,57) at point B. [ L1 y = 10x -13 L2 y= -\(\frac{1}{10}\)x +57\(\frac{7}{10}\)]

Q6) Workout the equation of the perpendicular line passing through A(5,7) and B(9,35) at the midpoint of AB [ L1 y = 7x -28 (7,21) L2 y= -\(\frac{1}{7}\)x +22]

Q7) Find the slope of a line perpendicular to \(y = 5x -9\) [ m=-\(\frac{1}{5}\)]

Q7) Workout the equation of the perpendicular line passing through A(1,3) and B(3,7) at point B. [ L1 y = 2x + 1 L2 y= -\(\frac{1}{2}\)x +8\(\frac{1}{2}\)]

Q7) Workout the equation of the perpendicular line passing through A(1,4) and B(5,8) at the midpoint of AB [ L1 y = x + 3 (3,6) L2 y= -x +9]

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(6,2) and B(9,11) at point B. [ L1 y = 3x -16 L2 y= -\(\frac{1}{3}\)x +14]

Q8) Workout the equation of the perpendicular line passing through A(5,10) and B(7,16) at the midpoint of AB [ L1 y = 3x -5 (6,13) L2 y= -\(\frac{1}{3}\)x +15]

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

Q9) Workout the equation of the perpendicular line passing through A(1,5) and B(5,13) at point B. [ L1 y = 2x + 3 L2 y= -\(\frac{1}{2}\)x +15\(\frac{1}{2}\)]

Q9) Workout the equation of the perpendicular line passing through A(11,7) and B(13,9) at the midpoint of AB [ L1 y = x -4 (12,8) L2 y= -x +20]

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

Q10) Workout the equation of the perpendicular line passing through A(2,4) and B(7,9) at point B. [ L1 y = x + 2 L2 y= -x +16]

Q10) Workout the equation of the perpendicular line passing through A(11,6) and B(13,8) at the midpoint of AB [ L1 y = x -5 (12,7) L2 y= -x +19]