Question

Find an equation in point-slope form for the line having the slope m=-3 and containing the point (4,2).

Answer 1

The equation of a line in point-slope form is given by

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

Where

`\begin{gathered} m=-3 \\ y_1=2 \\ x_1=4 \end{gathered}`

Thus, if we substitute the above values into the equation:

`y-2=-3(x-4)`