Question

The equation of a line perpendicular to y=3x-1 and goes through (0,2)

Answer 1

y =
`-(1)/(3)`x + 2

Explanation:

Find the reciprocal change the sign of the gradient (m=3):

`-(1)/(3)`

so

y =
`-(1)/(3)`x + c

The intersect is 2, so c = 2

Final answer: y =
`-(1)/(3)`x + 2