Question

Write the equation of the line in point - slope form that passes through (7,12) and has slope: -

Answer 1

`\bold{y-12\,=\,-\frac13(x-7)}`

Explanation:

The "point-slope" form of the equation of a straight line is:

`y-y_p=m(x-x_p)`

`(7,\,12)\quad\implies\quad x_p=7\,,\quad y_p=12\\\\m=-\frac13`

So:

`\bold{y-12\,=\,-\frac13(x-7)}`