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The vertices of triangle ABC are A(2,-11),B(2,13) ,C(-12,1).Find the equation of AB.

2007-02-16 20:02:04 · 12 answers · asked by Smilie 2 in Science & Mathematics Mathematics

12 answers

use the formula (x-x1)/(x1-x2)= (y-y1)/(y1-y2)

(x-2)/ (2-2)= (y+11)/(-11-13)

(x-2)/0 = (y+11)/ (-24)

-24(x-2) = 0

-24x + 48 = 0

x=2

2007-02-16 20:19:02 · answer #1 · answered by teen25 1 · 1 0

x=2

2007-02-17 04:11:03 · answer #2 · answered by tony1athome 5 · 0 0

AB is a line 24 units long running straigt up and down at x=2 from y= -11 to 13.

So the equation is x=2, -11 >y>13

2007-02-17 04:10:21 · answer #3 · answered by Anonymous · 1 0

The equation o a straight line passing through two points (x1,y1) and (x2,y2) is given by (y-y1)/(x-x1)=(y1-y2)/(x1-x2).

Here, A (x1,y1) is (2,-11) and B (x2,y2) is (2,13).

Hence the equation of the line passing through A & B is
(y+11)/(x-2)=(-11-13)/(2-2),
i.e. (x-2)/(y+11)=(2-2)/(-11-13)
i.e. x-2=0
i.e. x=2

You can find this out by observation, too. Notice the the x co-ordinates of both A & B are the same, i.e. 2. Hence the equation of the line thriughA & B must be x=2.

The co-ordinates of C are irrelevant here.

2007-02-17 04:49:57 · answer #4 · answered by Bharat 4 · 0 0

the equation of line AB need only two points A and B
y+11 = (13+11)/(2-2) {x-2}

as denometer is zero, so u have to cross multiply and we get:
x-2 = 0
so, equation of line is x=2, which is parallel to y axis at a distance of 2 units from Origin.

2007-02-17 04:13:08 · answer #5 · answered by Anonymous · 0 0

Plot the points A and B and join them to give line AB.
It will be seen that every point on the line is at distance 2 from the y axis.
This gives the equation of the line as x = 2

2007-02-17 04:30:02 · answer #6 · answered by Como 7 · 0 0

14

2007-02-17 04:08:56 · answer #7 · answered by shemak a 1 · 0 1

A= (2,-1)
B=(2,13)

M=Y2-Y1/X2-X1
=13-(-11)/2-2
=0

SO NOW THE FORMULA IS

Y-Y1=M(X-X1)
Y-(-11)=0
Y+12=0

SO THE ANSWER
IS

Y+12=0

2007-02-17 04:12:48 · answer #8 · answered by Anonymous · 0 2

2 ; get a pen and paper and try to draw the triangle, it is easy then after

2007-02-17 04:13:56 · answer #9 · answered by Tom 1 · 0 0

use the distance and section formula to solve this problem

2007-02-17 04:16:13 · answer #10 · answered by lord k 2 · 0 0

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