Question

/_\ DEF has vertices D(-2,4), E(0,-2), and F(6,2). Determine:
a) an equation for DG, the median from D to EF
b) an equation for FC, the altitude from F to DE
c) an equation for AB, the right bisector of DF

Answer 1

point G is the midpoint of segment EF

so you use the midpoint formula to find point G

Answer 2

what do you get when you do that

Answer 3

Point G is (3,0)

Answer 4

Then i found the slope of the of DG which is -4/5

Answer 5

so far, so good

Answer 6

what's next?

Answer 7

Im not sure

Answer 8

well you know the slope -4/5

Answer 9

you know a point that this line goes through (-2,4)

Answer 10

the final answer is 4x+5y-12=0

Answer 11

so

y = mx + b

y = (-4/5)x + b

4 = (-4/5)(-2) + b

4 = 8/5 + b

4 - 8/5 = b

b = 12/5

Answer 12

so do i put it into y=mx+b?

Answer 13

the equation in slope intercept form is y = (-4/5)x + 12/5

Answer 14

if you want the equation in standard form, you would get

y = (-4/5)x + 12/5

5y = -4x + 12

4x + 5y = 12

Answer 15

thanks alot!!!!!!!

Answer 16

you're welcome