What are the equations of 2 lines that are perpendicular to the line: 4x+y-2 = 04x+y2=0?

1 Answer
Nov 15, 2015

y = 1/4 x + by=14x+b

(bb can be any number)

Explanation:

Lets rewrite the equation 4x+y-2=04x+y2=0 to solve for y.

4x+y-2=04x+y2=0
4x+y=24x+y=2
y=-4x+2y=4x+2

This new equation now fits into the helpful format y=mx+by=mx+b

With this formula bb is equal to the y intercept and mm is equal to the slope.

So if our slope is -44 then to calculate a perpendicular line we flip the number and change the sign. So -4/141 becomes 1/414.

We can now construct a new equation with the new slope:

y =1/4 x +2y=14x+2

That is a perfectly acceptable answer to this question, and to easily generate more equations we can simply change the y intercept to any number we want.

y =1/4 x +2y=14x+2
y =1/4 x +10y=14x+10
y =1/4 x - 6y=14x6