Monday

March 30, 2015

March 30, 2015

Posted by **Jake** on Friday, January 21, 2011 at 3:18pm.

- Math -
**MathMate**, Friday, January 21, 2011 at 9:54pmLine passing through two given points P1(x1,y1) and P2(x2,y2)

L: (y-y1)/(y2-y1) = (x-x1)/(x2-x1)

or (x2-x1)(y-y1) = (y2-y1)(x-x1)

For line AB:

AB: (4-2)(y-2) = (-5-2)(x-2)

=> AB: 2(y-2) = (-7)(x-2)

=> AB: y = -3.5x + 9

Similarly, line BC is:

BC: (6-4)*(y+5)=(t+5)*(x-4)

=> BC: y=((t+5)/2)x - 2t-15

If the two lines are to be perpendicular to each other, the product of the slopes must be -1, or

-3.5*(t+5)/2 = -1

Solve for t to get t=-31/7

Check:

Slope of AB: (-5-2)/(4-2)=-3.5

Slope of BC: (-31/7+5)/(6-4)= 2/7

Product of slopes : -3.5*2/7=-1 OK

**Answer this Question**

**Related Questions**

math - (please explain with brief explanation) The sides of an equilateral ...

math - Triangle ABC is right-angled at B. Segment BD is an altitude of the ...

math - The sides of a right angled triangle are x,x+1 and x+2.find x,Am not ...

math - B . . . . . . . . . . . . . . C A Triangle ABC is right angled at A. The...

math - the base of right angled triangle measures 48 cm and its hypotenuse is 50...

maths-urgently needed - In right angled triangle ABC angle B=90 degree and AB= ...

maths - in triangle ABC,right-angled at A,if cot B=1, find the value of cosB ...

Math - : PROGRAM: PYTHAG : Prompt A, B :Fix 2 : (A2 +B2) C :Disp "C=",C : ...

maths-urgently needed - If in a triangle ABC, c(a+b) Cos B/2 =b(c+a) Cos C/2 ...

maths-urgently needed - If in a triangle ABC, c(a+b) Cos B/2 =b(c+a) Cos C/2 ...