Question

What is the point slope form of an equation that represents the line that passes through the point (6,-3) and has a slope of 1/2?

Answer 1

The point-slope equation has the following form:

$(y-y_0)=s(x-x_0)$

Where "s" is the slope and (x_0,y_0) is a point in the line.

So, given the slope of 1/2 and the point (6,-3), the point-slope form will be:

$\begin{gathered} (y-(-3))=\frac{1}{2}(x-6) \\ (y+3)=\frac{1}{2}(x-6) \end{gathered}$