Question

Write an equation of the line that passes through (1, 2) and is perpendicular to the line y = 1/3 x +4​

Answer 1

`y=-3x+5`

Explanation:

As the new line is perpendicular to the original line, the gradient of the new line (m) will be -1 ÷ gradient of original line = -1 ÷ 1/3 = -3

So using:
`y-y_1=m(x-x_1)` where m is the gradient and
`(x_1, x_2)` is the point it passes through:

⇒
`y-2=-3(x-1)`

⇒
`y=-3x+5`