Answer:
S(10/12,11/3)
the slope of FS=the slope of SG
Step-by-step explanation:
1. Given ????(0, 2) and ????(2, 6), if point ???? lies 5 / 12 of the way along FG, closer to ???? than to ????, find the coordinates of ????.
Then verify that this point lies on FG.
F(0,2) ---------------------->(x1,y1)
G(2,6)-------------------------->(x2,y2)
S=5/12----------------------be the point P
The coordinates of S can be gotten by the formula
below
x1+P(x2-x1), y1+P(y2-y1)
find the coordinates of S
for x coordinates of S=0+5/12(2-0)
x=10/12
for y coordinate of S
y=2+5/12(6-2)
y=2+5/3
y=11/3
S(10/12,11/3)
b. the slope of FS=the slope of SG
Slope of a line is given below as
[tex]\frac{y2-y1}{x2-x1}[/tex]
11/3-2/(10/12-0)=6-11/3/(2-10/12)
5/3/10/12=7/3/14/12
2=2
the slope of FS=SG
