Answer :

Ok we can writue the equation of the second point and replace x=18 and the solution must be -8, if isnt the solution the line doesnt pass through the point

calculate the parallel line to second point

the slope is -2/3

we replace on the general equation of the line and replace the point C(3,2)

[tex]\begin{gathered} y=-\frac{2}{3}x+b \\ (2)=-\frac{2}{3}(3)+b \end{gathered}[/tex]

and solve for b

[tex]\begin{gathered} 2=-2+b \\ b=2+2 \\ b=4 \end{gathered}[/tex]

the parallel line on the second point is

[tex]y=-\frac{2}{3}x+4[/tex]

Third point

replace x=18

[tex]\begin{gathered} y=-\frac{2}{3}(18)+4 \\ y=-12+4 \\ y=-8 \end{gathered}[/tex]

so this graph has the point (18,-8), then the line pass through E

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