$\"\"$

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The given pair of parallel lines $\"\"$ .

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Find an equation of line perpendicular to the given pair of lines.

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The slope of perpendicular line is the opposite resiprocal of 2 that is $\"\"$ .

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Use the y-intercept of the line $\"\"$ , $\"\"$ , as one of the end points of the perpendicular line.

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$\"\"$ (Write the slope intercept form)

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$\"\"$ (Sustitute $\"\"$ )

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$\"\"$ (Simplify)

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$\"\"$ (Add 2 to each side) $\"\"$

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Find the point of intersection between $\"\"$ and $\"\"$ using a system of equations. $\"\"$ (Write the equation)

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$\"\"$ (Substitute $\"\"$ )

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$\"\"$ (Group like terms on each side)

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$\"\"$ (Simplify)

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

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Substitute $\"\"$ in the equation $\"\"$ to find the value of y.

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$\"\"$ (Write the equation)

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$\"\"$ (Substitute $\"\"$ )

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$\"\"$ (Simplify)

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So, the point of intersection is $\"\"$ .

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$\"\"$ $\"\"$

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Use the distance formula to determine the distance between $\"\"$ . $\"\"$ (Write the distance formula)

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$\"\"$ (Substitute $\"\"$ )

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$\"\"$ (Simplify) $\"\"$

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The distance between pair of parallel lines is $\"\"$ .