Step-by-step Answer
PAGE: 185SET: ExercisesPROBLEM: 12
Please look in your text book for this problem Statement

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 2 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 )


                           (Add 2 to each side)

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

                   (Substitute )

                      (Group like terms on each side)


                                         (Divide each side by )

Substitute in the equation to find the value of y.

                           (Write the equation)

                        (Substitute )


So, the point of intersection is .

Use the distance formula to determine the distance between .    (Write the distance formula)

          (Substitute )


The distance between pair of parallel lines is .


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