Question

Write an equation of a line that is perpendicular to y = -2x +4

that passes through the point(4,2)
Write an equation of a line that is perpendicular to 4x +2y = 8
that passes through the point(6,2)
Write an equation of a line that is perpendicular to y = 2/3x+2
that passes through the point(2,2)
Write an equation of a line that is perpendicular to y = 1/4x-4
that passes through the point(2.8)

Answer 1

Explanation:

1. perp. 1/2

y - 2 = 1/2(x - 4)

y - 2 = 1/2x - 2

y = 1/2x

2. 2y = -4x + 8

y = -2x + 4

perp. 1/2

y - 2 = 1/2(x - 6)

y - 2 = 1/2x - 3

y = 1/2x - 1

3. perp. -3/2

y - 2 = -3/2(x - 2)

y - 2 = -3/2x + 3

y = -3/2x + 5

4. perp. -4

y - 8 = -4(x - 2)

y - 8 = -4x + 8

y = -4x + 16