Respuesta :

[tex]\boxed {y= \frac{2}{3} x - 17}[/tex]

[tex]Slope \longrightarrow \frac{2}{3} [/tex]

[tex]Y-intercept \longrightarrow -17[/tex]

[tex]\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow[/tex]

[tex]\boxed {4x-6y=-6}[/tex]

[tex]Rearranging\ it \ to \ make \ y \ the \ subject[/tex]

[tex]6y=4x +6[/tex]

[tex]y= \frac{2}{3} x +1[/tex]

[tex]Slope \longrightarrow \frac{2}{3} [/tex]

[tex]Y-intercept \longrightarrow 1[/tex]

[tex]\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow[/tex]

[tex]\boxed{Both \ the \ slope \ are \ the \ same \longrightarrow They \ are \ parallel }[/tex]

[tex]\boxed {The \ y-intercepts \ are \ different \longrightarrow They \ are \ not \ the \ same \ line }[/tex]

[tex]\boxed{\boxed{Answer B}}[/tex]

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