Answer:
y=(4/5)x-(18/5)
Step-by-step explanation:
Slope: 4/5
y=(4/5)x+b
Use (2,-2)
-2=(4/5)(2)+b
b= -18/5
y=(4/5)x-(18/5)
First, we draw our line.
|------------------------------------------------------------------------------------|
a e
Next, break up this line into segments using the information.
|----------------------|----------------------|--------------------|------------------|
a b c d e
The entire line is 29.
ab + bc + cd + de = ae
ab + bc + cd + de = 29
You also know that
bd = bc + cd
Due to midpoint theorem,
ab = bc
cd = de
Then,
2ab + 2cd = 29
The equations we will use are
bd = bc + cd eq1
2bc + 2cd = 29 eq2
Dividing both sides of the equation in eq2 yields
bc + cd = 14.5
bd = bc + cd
bd = 14.5
Answer:
G = (2, -1)
Step-by-step explanation:
You want ...
FG/FH = 1/6 = (G -F)/(H -F)
H -F = 6(G -F)
H +5F = 6G . . . . . . add 6F, simplify
G = (H +5F)/6 . . . . .divide by 6
Substituting the given coordinates, we get ...
G = ((-8, 19) +5(4, -5))/6 = (-8+20, 19 -25)/6 = (12, -6)/6
G = (2, -1)
