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))=(1)/(2)(x-6) \\ (y+3)=(1)/(2)(x-6) \end{gathered}`