SOLUTION: Please help me with geometry triangle Triangle ABC has been rotated 90° to create triangle DEF. Write the equation, in slope-intercept form, of the side of triangle ABC that is

Algebra ->  Triangles -> SOLUTION: Please help me with geometry triangle Triangle ABC has been rotated 90° to create triangle DEF. Write the equation, in slope-intercept form, of the side of triangle ABC that is      Log On


   



Question 1177583: Please help me with geometry triangle
Triangle ABC has been rotated 90° to create triangle DEF. Write the equation, in slope-intercept form, of the side of triangle ABC that is perpendicular to segment EF. You must show all work to receive credit.

Triangles ABC and DEF are shown. A is at 4, 2. B is at 4, 5. C is at 1, 2. D is at 2, negative 4. E is at 5, negative 4. F is at 2, negative 1. Line BC and line EF intersect at point 0, 1.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Triangles ABC and DEF are shown.
A (4, 2)
B+(4, 5)
C (1, 2)
D (2, -4)
E(5, -4)
F (2, -1)
Line BC and line EF intersect at point (0, 1)
Line BC,+y=mx%2Bb, passes through B+(4, 5) and C (1, 2)
use them to find slope m
m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
m=%282-5%29%2F%281-4%29
m=-3%2F-3
m=1
so far
+y=x%2Bb
line EF,+y=mx%2Bb, passes through E(5, -4) and F (2, -1)
m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
m=%28-1-%28-4%29%29%2F%282-5%29
m=3%2F-3
m=-1
+y=-x%2Bb
Line BC and line EF intersect at point (0, 1)=>b=1
Line BC is +y=x%2B1
line EF is +y=-x%2B1