Example: Find the equation of a line in slope intercept form given the line passes through the two points and .
First find the slope of the line.
Choose one of the points to be and choose the other point to be .
I will choose to be and choose to be .
Substitute these values into the slope formula and simplify.
The slope of the line containing the points and is .
Then, use the point-slope formula of the line to start building the line. m represents the slope of the line and you can use or as the 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.
The equation of a line in slope intercept form passing through the two points and is .