Question

Help me with #22 please.

Answer 1

Write out the Eq. for slope:

`m= (( y_(2) - y_(1) ))/(( x_(2) - x_(1)))`

(-4,8) = (x1,y1)
(r, 12) = (x2,y2)
m=
`(4)/(3)`

Use this information to plug into the slope equation:

`m= (( y_(2) - y_(1) ))/(( x_(2) - x_(1)))`

`(4)/(3) = (( 12 - 8 ))/(( r - (-4)))`

`(4)/(3) = (( 4 ))/(( r - (-4)))`



Since we want the bottom of the fraction =3 set r-(-4)=3 and solve
r-(-4)=3
r+4-4=3-4
r= -1

Answer 2

4/3 = (12 - 8) / (r+4)
4/3r + 16/3 = 4
4r + 16 = 12
4r = -4
r = -1

answer
G. -1