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The given pair of parallel lines .
Find an equation of line perpendicular to the given pair of lines.
The slope of perpendicular line is the opposite resiprocal of 4 that is .
Use the y-intercept of the line ,, as one of the end points of the perpendicular line.
(Write the slope intercept form)
(Sustitute )
(Simplify)
Find the point of intersection between and using a system of equations. (Write the equation)
(Substitute )
(Group like terms on each side)
(Simplify)
(Divide each side by )
Substitute in the equation to find the value of y.
(Write the equation)
(Substitute )
(Simplify)
So, the point of intersection is .
Use the distance formula to determine the distance between . (Write the distance formula)
(Substitute )
(Simplify)
The distance between pair of parallel lines is or 4.12.
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