EDGE Math 8

Example

Write an equation of the line containing the point $(- 9, 3)$ and with slope −4. Express your final answer in general form.

Solution

Using the point-slope form with $(x_{1}, y_{1}) = (- 9, 3)$ and $m = - 4,$ you will get the following:

\begin{array}{l} y - 3 = - 4 [x - (- 9)] \\ y - 3 = - 4 (x + 9) \\ y - 3 = - 4 x - 36 \end{array}

If you will write the last equation in general form, you will have:

4 x + y + 33 = 0.