need help to write the standard form of the equation below

Question

through: (-4,-5), perpendicular to y=-4/7x+3

Answer 1

perpendicular line has negative inverse slope = 7/4

y = 7x/4 +b plug in the point to find b

-5 = 7(-4)/4 + b

b = -5 +7 = 2

y = 7x/4 +2 is the perpendicular line's equation