$\"\"$

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The line equations are Line a: $\"\"$ , Line b: $\"\"$ ,and Line c: $\"\"$ .

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The equation of line a: $\"\"$ is adjusted in the slope - intercept form of equation or $\"\"$ where m is slope and b is y - intercept.

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Therefore slope of line a is $\"\"$ .

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Rewrite the equation of line b: $\"\"$ in the slope - intercept form by solving for y.

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Divide each side by 5.

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$\"\"$

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$\"\"$

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Therefore slope of line b is $\"\"$ . $\"\"$

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Rewrite the equation of line c: $\"\"$ in the slope - intercept form by solving for y.

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Subtract 10x from each side.

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$\"\"$

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$\"\"$

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$\"\"$

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Divide each side by $\"\"$ .

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$\"\"$

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$\"\"$

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Therefore slope of line c is $\"\"$ .

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Therefore slopes of line a, line b and line c are $\"\"$ respectively.

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The lines a and b have the slopes of $\"\"$ , so they are parallel. $\"\"$

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The lines a and b are parallel.