Question

Perpendicular to the line x - 5y = 9; containing the point (2, 4)

Answer 1

y=-5x+14

Explanation:

x-5y=9

x-9=5y

y=
`(1)/(5)`x-
`(9)/(5)`

The slope for this line is: 1/5

The product of the slopes of any two perpendicular lines equals -1.

So the slope for the perpendicular line will be -5.

The point-slope formula=

Given slope m and a point on the line: (X, Y), the equation of the line will be:

y-Y=m(x-X)

So the equation for the perpendicular should be:

y-4=(-5)(x-2)

Simplify:

y-4=-5x+10

y=-5x+14