Friday

March 6, 2015

March 6, 2015

Posted by **Lance** on Sunday, January 13, 2013 at 5:26am.

Please I need Help with this

- Analytic Geometry -
**Reiny**, Sunday, January 13, 2013 at 8:47amThe point must be on the right-bisector of the line segment from (-2,4) to (3,5)

slope of line segment is 1/5, so slope of right-bisector is -5

midpoint of line segment is (1/2 , 9/2)

equation of right-bisector of line segment is

y - 9/2 = -5(x - 1/2)

2y - 9 = -10x + 5

10x + 2y = 14

5x + y = 7 or y = -5x+7

2nd line segment:

slope of line segment = 2/8 = 1/4

slope of right-bisector = -4

midpoint = (2, -2)

equation of right-bisector

y+2 = -4(x-2)

y +2 = -4x+8

y = -4x + 6

then:

-4x+6 = -5x+7

x = 1

which makes y = -4(1)+6 = 2

the point is (1,2)

**Answer this Question**

**Related Questions**

Analytic Geometry - A point is equidistant from (-2,4) and (3,5). It is also ...

Analytic Geometry - f (1, -2) is equidistant with (4, 4) and (x, 4), find x.

analytic geometry - The (x,y) is equidistant from (0,0) and (4,-2). Find its ...

geometry - Find the locus of a point which is equidistant from the origin and ...

maths pleaaaase - The point X and Y are 8cm apart Draw a scale drawing of the ...

Algebra - A ˇ§lattice pointˇ¨ has integer coordinates. Then, A = (m, n) is a ...

geometry - A moving point is always equidistant from (5,3) and the line 3x+y+5=0...

Geo (locus) - I don't fully get this stuff but some of these I guessed on and ...

geometry - A moving point is always equidistant from (-3,2) and the line 2x-y+2=...

Geometry Honors - Find 2 points on the perpendicular bisector of line AB. Verify...