Question

A line passes through the point (2, -9) and has a slope of -9. Write an equation in point-slope form for this line.

Answer 1

`y+9 = - 9x +18`

Explanation:

Line is passing through the point
`(2,\: - 9) =(x_1,\:y_1)` and has slope (m) = - 9

General equation of line in point slope form is given as:

`y-y_1 = m(x-x_1)`

Therefore

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

`y+9 = - 9x +18`

This is the required equation of line in point slope form.