Geometry homework

Question

Write an equation of the line passing through (2,3) that is perpendicular to line y=-1/4x+1

Answer 1

a line perpendicular to y = -(1/4)x +1 has slope = 4

y =4x + b, plug in (2,3) to solve for b= y intercent

3 = 4(2) +b

b = 3-8 =-5

y =4x -5 is the perpendicular line through (2,3)