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Which equation represents a line which is parallel to the line 3y - 2x = -24?Submit AnswerOy= -x - 7Oy= - žx – 2Oy= {x +3Oy= x +4

Which Equation Represents A Line Which Is Parallel To The Line 3y 2x 24Submit AnswerOy X 7Oy Žx 2Oy X 3Oy X 4 class=

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ANSWER

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

EXPLANATION

Parallel lines have the same slope. First we should rewrite the given line in the slope-intercept form by clearing y, so that we can see what is the slope:

[tex]\begin{gathered} 3y-2x=-24 \\ 3y=2x-24 \\ y=\frac{2}{3}x-8 \end{gathered}[/tex]

The slope of the line is 2/3, so the slope of the parallel line must be 2/3 too. From this options, the equation with a slope of 2/3 is:

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

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