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 \(y = 3x -7\) [ m=-\(\frac{1}{3}\)]

Q1) Workout the equation of the perpendicular line passing through A(1,3) and B(3,17) at point B. [ L1 y = 7x -4 L2 y= -\(\frac{1}{7}\)x +17\(\frac{3}{7}\)]

Q1) Workout the equation of the perpendicular line passing through A(10,3) and B(14,11) at the midpoint of AB [ L1 y = 2x -17 (12,7) L2 y= -\(\frac{1}{2}\)x +13]

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

Q2) Workout the equation of the perpendicular line passing through A(5,1) and B(9,25) at point B. [ L1 y = 6x -29 L2 y= -\(\frac{1}{6}\)x +26\(\frac{1}{2}\)]

Q2) Workout the equation of the perpendicular line passing through A(5,2) and B(7,8) at the midpoint of AB [ L1 y = 3x -13 (6,5) L2 y= -\(\frac{1}{3}\)x +7]

Q3) Find the slope of a line perpendicular to \(y = 2x -11\) [ m=-\(\frac{1}{2}\)]

Q3) Workout the equation of the perpendicular line passing through A(2,2) and B(7,7) at point B. [ L1 y = x +0 L2 y= -x +14]

Q3) Workout the equation of the perpendicular line passing through A(2,10) and B(6,26) at the midpoint of AB [ L1 y = 4x + 2 (4,18) L2 y= -\(\frac{1}{4}\)x +19]

Q4) Find the slope of a line perpendicular to \(y = 4x -7\) [ m=-\(\frac{1}{4}\)]

Q4) Workout the equation of the perpendicular line passing through A(6,2) and B(8,14) at point B. [ L1 y = 6x -34 L2 y= -\(\frac{1}{6}\)x +15\(\frac{1}{3}\)]

Q4) Workout the equation of the perpendicular line passing through A(4,2) and B(6,12) at the midpoint of AB [ L1 y = 5x -18 (5,7) L2 y= -\(\frac{1}{5}\)x +8]

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

Q5) Workout the equation of the perpendicular line passing through A(6,1) and B(10,33) at point B. [ L1 y = 8x -47 L2 y= -\(\frac{1}{8}\)x +34\(\frac{1}{4}\)]

Q5) Workout the equation of the perpendicular line passing through A(2,5) and B(6,13) at the midpoint of AB [ L1 y = 2x + 1 (4,9) L2 y= -\(\frac{1}{2}\)x +11]

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

Q6) Workout the equation of the perpendicular line passing through A(5,2) and B(10,37) at point B. [ L1 y = 7x -33 L2 y= -\(\frac{1}{7}\)x +38\(\frac{3}{7}\)]

Q6) Workout the equation of the perpendicular line passing through A(1,1) and B(3,5) at the midpoint of AB [ L1 y = 2x -1 (2,3) L2 y= -\(\frac{1}{2}\)x +4]

Q7) Find the slope of a line perpendicular to \(y = 4x -14\) [ m=-\(\frac{1}{4}\)]

Q7) Workout the equation of the perpendicular line passing through A(2,3) and B(7,13) at point B. [ L1 y = 2x -1 L2 y= -\(\frac{1}{2}\)x +16\(\frac{1}{2}\)]

Q7) Workout the equation of the perpendicular line passing through A(7,5) and B(9,13) at the midpoint of AB [ L1 y = 4x -23 (8,9) L2 y= -\(\frac{1}{4}\)x +11]

Q8) Find the slope of a line perpendicular to \(y = 5x -20\) [ m=-\(\frac{1}{5}\)]

Q8) Workout the equation of the perpendicular line passing through A(5,4) and B(7,20) at point B. [ L1 y = 8x -36 L2 y= -\(\frac{1}{8}\)x +20\(\frac{7}{8}\)]

Q8) Workout the equation of the perpendicular line passing through A(3,10) and B(7,30) at the midpoint of AB [ L1 y = 5x -5 (5,20) L2 y= -\(\frac{1}{5}\)x +21]

Q9) Find the slope of a line perpendicular to \(y = 4x -3\) [ m=-\(\frac{1}{4}\)]

Q9) Workout the equation of the perpendicular line passing through A(3,3) and B(8,8) at point B. [ L1 y = x +0 L2 y= -x +16]

Q9) Workout the equation of the perpendicular line passing through A(2,10) and B(6,18) at the midpoint of AB [ L1 y = 2x + 6 (4,14) L2 y= -\(\frac{1}{2}\)x +16]

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

Q10) Workout the equation of the perpendicular line passing through A(1,1) and B(6,36) at point B. [ L1 y = 7x -6 L2 y= -\(\frac{1}{7}\)x +36\(\frac{6}{7}\)]

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