Example: Find the equation of a line in slope intercept form given the slope of the line is and the line passes through the point
Use the point-slope formula of the line to start building the line. m represents the slope of the line and is a point on the line.
Substitute the values into the formula.
Since the instructions ask to write the equation in slope intercept form we will simplify and write the equation with y by itself on one side. I will also use the clearing fractions method to avoid having to add fractions.
(Multiply by LCM)
The equation of a line in slope intercept form with a slope of and passing through the point is