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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