$\"\"$

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The equations are $\"\"$ and $\"\"$ .

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The Slope-intercept form of line equation is $\"\"$ .

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where $\"\"$ is the slope and $\"\"$ is the $\"\"$ -intercept.

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Write the equation in slope-intercept form.

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$\"\"$ (Original equation)

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$\"\"$ (Divide each side by $\"\"$ )

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$\"\"$ (Cancel common terms)

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Find the slope.

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$\"\"$

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Here, the slope is $\"\"$ .

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$\"\"$

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Write the equation in slope-intercept form.

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$\"\"$ (Original equation)

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$\"\"$ (Add $\"\"$ to each side)

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$\"\"$ (Apply additive inverse property : $\"\"$ )

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$\"\"$ (Divide each side by $\"\"$ )

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$\"\"$ (Cancel common terms)

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Find the slope.

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$\"\"$ .

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Here, the slope is $\"\"$ .

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Slope of the first equation is $\"\"$ .

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Slope of the second equation is $\"\"$ .

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$\"\"$

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If two lines are parallel, their slopes must be equal. (Or)

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If two lines are said to be perpendicular,the product of their slopes is equal to $\"\"$ .

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Here, the two slopes are perpendicular.

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$\"\"$

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The lines are perpendicular.