A railway line is represented by

MATHEMATICS · Subjective · A Level · Mathematics · Coordinate geometry in the (x y) plane · Coordinate geometry in the (x y) plane

Problem

4x-y+2=0

. A service track has to be laid parallel to this line and must pass through the midpoint of the segment joining

A(6,-2)

and

B(2,4)

. Find the equation of the service track in slope–intercept form.