Answer:
D (4.34,3.22)
Step-by-step explanation:
Line Y (2,4), (-4,6)
**y=mx+b slope-intercept form
m=slope; b=y-intercept
[tex]m_Y=(6-4)/(-4-2)=2/-6=(-1/3)\\y=-1/3x+b[/tex]
plug in 1 point
[tex]4=-1/3(2)+b; b=14/3[/tex]
Line Z (8,8) (-5,9)
[tex]m_Z=(8-(-9))/(8-(-5))=17/3\\y=(17/3)x+b\\8=17/3(8)+b; b=-32/13\\[/tex]
Substitution
[tex]-\frac{1}{3} x +\frac{14}{3}=\frac{17}{13}x-\frac{32}{13} : x=139/32\\y=-\frac{1}{3}(\frac{139}{32})+\frac{14}{3}\\ : y=103/32[/tex]
