Question

Need math help asap please! :/ thanks

Answer 1

The rule to remember about generating the perpendicular family to a line is we swap the coefficients on and x and y, remembering to negate one of them. Then the constant is set directly from the intersecting point.

So we have

y = 3x + 2

-3x + 1y = 2

Swapping and negating gets the perpendiculars; the constant is as yet undetermined.

1x + 3y = constant

Since we want to go through (0,2), we could have just written

x + 3y = 0 + 3(2) = 6

3y = -x + 6

y = (-1/3) x + 2

Third choice