Find an equation of the line l, where l is perpendicular to y=4x and passes through the point (1,4).

Question

asked Nov 22, 2019 222k views

1 Answer

Danioyuan · Answer 1 · 2019-11-26T05:57:05+0000

y = 4x + 0 → m = 4

perpendicular slope = -1/4

Point-Slope formula: y - y₁ = m(x - x₁) ; where (x₁, y₁) is the given point

y - 4 = (-1/4)(x - 1)

4(y - 4) = -1(x - 1)

4y - 16 = -x + 1

x + 4y - 16 = 1

x + 4y = 17