A line passing through the point A(4,-3) and B(6,-6) is perpendicular to px + 6y = -2. What is the value of p.

A line passing through the point A(4,-3) and B(6,-6) is perpendicular to px + 6y = -2. What is the value of p.

Answers

Gradient of the line

px + 6y = -2 is

6y =-px -2 is

y = -$\frac{px}{6}$ - $\frac{1}{3}$

m = -$\frac{p}{6}$

Gradient of the other

perpendicular line through

A(4,-3) and B(6,-6) is

$\frac{-6--3}{6-4}$ = $\frac{-6+3}{2}$ = -$\frac{3}{2}$

But $m_1m_2$ = -1

-$\frac{p}{6}$ x -$\frac{3}{2}$ = -1;

-$\frac{3p}{12}$ = -1

3p = -12;

p = -4

---

johnmulu answered the question on June 13, 2017 at 11:40

Next: How are cattle breeds kept in nomadic pastoralism in Kenya?
Previous: "Survival in a patriarchal Society requires a strong willed character". Justify this statement in close reference to Akoko as portrayed in the River and the source by Margaret A.Ogola.

View More Mathematics Questions and Answers | Return to Questions Index

Exams With Marking Schemes

• Grade 1
• Grade 2
• Grade 3
• Grade 4
• Grade 5
• Grade 6
• Grade 7
• Grade 8
• Grade 9
• PP1
• PP2
• Playgroup
• Form 1
• Form 2
• Form 3
• Form 4

Related Questions

• A straight line through the point A(2,1) and B(4,n) is perpendicular to the line whose equation is 3y + 2x - 5 = 0. Determine the value of n. (Solved)
  

  A straight line through the point A(2,1) and B(4,n) is perpendicular to the line whose equation is 3y + 2x - 5 = 0. Determine the value of n.

  Date posted: June 13, 2017.  Answers (1)

• The equation of a line is $\frac{-3x}{5}$ + 3y = 6. Find the,(Solved)
  

  The equation of a line is
  $\frac{-3x}{5}$ + 3y = 6. Find the,
  (a) Gradient of the line.
  (b) Equation of the line passing through the point (1,2) and perpendicular to the given line.

  Date posted: June 13, 2017.  Answers (1)

• A perpendicular is drawn from a point (3,5) to the line x + 2y = 3. (Solved)
  

  A perpendicular is drawn from a point (3,5) to the line x + 2y = 3. Find the equation of the perpendicular.

  Date posted: June 13, 2017.  Answers (1)

• Find the equation of the straight line which passes through (2,-1) and is perpendicular to 2y = 3x + 5. Give your answer in the form of ax + by + c =0 (Solved)
  

  Find the equation of the straight line which passes through (2,-1) and is perpendicular to 2y = 3x + 5. Give your answer in the form of ax + by + c =0

  Date posted: June 13, 2017.  Answers (1)

• The line 3x + 2y = 8 cuts the y-axis at p(0,k) find (Solved)
  

  The line 3x + 2y = 8 cuts the y-axis at p(0,k) find
  (a) Gradient of the line.
  (b) The value of k

  Date posted: June 13, 2017.  Answers (1)

• Find the equation of a line whose gradient is -$\frac{2}{3}$ and passes through point (-2,3)(Solved)
  

  Find the equation of a line whose gradient is -$\frac{2}{3}$ and passes through point (-2,3)

  Date posted: June 13, 2017.  Answers (1)

• Find the equation of the straight line passing through the points (-3,4) and (8,1)(Solved)
  

  Find the equation of the straight line passing through the points (-3,4) and (8,1)

  Date posted: June 13, 2017.  Answers (1)

• The gradient of a line AB is 1. If A and B are (3,5) and (x,4) respectively, find the value of x. (Solved)
  

  The gradient of a line AB is 1. If A and B are (3,5) and (x,4) respectively, find the value of x.

  Date posted: June 13, 2017.  Answers (1)

• The length of a line segment joining A(3,y) and B(7,5) is 5 units. Find the possible value of y. (Solved)
  

  The length of a line segment joining A(3,y) and B(7,5) is 5 units. Find the possible value of y.

  Date posted: June 13, 2017.  Answers (1)

• C(4,3) is the midpoint of a line segment AB. Given that the coordinates of B are (6,5), what are the coordinate of A? (Solved)
  

  C(4,3) is the midpoint of a line segment AB. Given that the coordinates of B are (6,5), what are the coordinate of A?

  Date posted: June 13, 2017.  Answers (1)

• Evaluate using tables (Solved)
  

  Evaluate using tables
  $\frac{(0.0056)^{\frac{1}{2}}}{1.38 \times 27.42}$

  Date posted: June 13, 2017.  Answers (1)

• Evaluate without using logarithm tables. (Solved)
  

  Evaluate without using logarithm tables.
  $\frac{450 \times \sqrt{0.36}}{27 ^{\frac{2}{3}} \div 81^{\frac{3}{4}}}$

  Date posted: June 13, 2017.  Answers (1)

• Without using logarithm tables, evaluate (Solved)
  

  Without using logarithm tables, evaluate
  $\frac{0.15\times 0.45 \div 1.5}{4.9 \times 0.2 + 0.07}$

  Date posted: June 13, 2017.  Answers (1)

• Solve for x in 125^x+1 + 5^3x = 630(Solved)
  

  Solve for x in 125^x+1 + 5^3x = 630

  Date posted: June 13, 2017.  Answers (1)

• Factorise 3^x + 3^x+1 hence evaluate the value of x in(Solved)
  

  Factorise 3^x + 3^x+1 hence evaluate the value of x in 3^x + 3^x+1 = 36

  Date posted: June 13, 2017.  Answers (1)

• Solve for x in 49^x+1 + 7^2x = 350(Solved)
  

  Solve for x in 49^x+1 + 7^2x = 350

  Date posted: June 12, 2017.  Answers (1)

• Solve for x in 4^x + 2^2x+1 = 24(Solved)
  

  Solve for x in 4^x + 2^2x+1 = 24

  Date posted: June 12, 2017.  Answers (1)

• Solve for x in(Solved)
  

  Solve for x in 3^x x 2^2x-3 = 18

  Date posted: June 12, 2017.  Answers (1)

• Solve for x in 9^x + 3^2x - 1 = 53 (Solved)
  

  Solve for x in 9^x + 3^2x - 1 = 53

  Date posted: June 12, 2017.  Answers (1)

• Solve for x in (Solved)
  

  Solve for x in 9^x + 3^2x+1 = 36

  Date posted: June 12, 2017.  Answers (1)