find the equation of the line intersecting the line 2y-5x=11 at its y-intercept such that these two lines are perpendicular

Question

Please help me. I don't get this question. Thank you and have a great day! :)

Answer 1

2y -5x = 11

y = 5x/2 + 11/2, with slope = 5/2, y intercept = (0, 11/2)

perpendicular line has negative inverse slope = -2/5

y = -2x/5 + 11/2