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Question

asked Aug 17, 2022 83.0k views

1 Answer

Akshay Khale · Answer 1 · 2022-08-23T10:51:04+0000

Answer:

D (4.34,3.22)

Explanation:

Line Y (2,4), (-4,6)

**y=mx+b slope-intercept form

m=slope; b=y-intercept

$m_Y=(6-4)/(-4-2)=2/-6=(-1/3)\\y=-1/3x+b$

plug in 1 point

4=-1/3(2)+b; b=14/3

Line Z (8,8) (-5,9)

$m_Z=(8-(-9))/(8-(-5))=17/3\\y=(17/3)x+b\\8=17/3(8)+b; b=-32/13\\$

Substitution

$-(1)/(3) x +(14)/(3)=(17)/(13)x-(32)/(13) : x=139/32\\y=-(1)/(3)((139)/(32))+(14)/(3)\\ : y=103/32$