Question

What is the equation of the line with slope `m=2/9` that passes through `(2,-6)`?

Answer 1

`y=2/9x-58/9`

Explanation:

The general equation of a line is given by: `y-y_1=m(x-x_1)`, where `m` is the gradient and `(x_1,y_1)` are coordinates of a point.

`y--6=2/9(x-2)`

Expand,

`y+6=2/9x-4/9`

Subtract `6` from both sides,

`y=2/9x-58/9`