Point-Slope Form
The line below can be manipulated by moving slider 1 and point A. Please answer the questions below.
(1.) Move slider 1, what characteristic of the line is changing?
(2.) Describe how the equation of the line changes as you move point A.
(3.) Move point A into Quadrant 3. Explain how the equation is different than before.
(4.) Using the above information, write the general form of point-slope form.
(5.) Write the equation of the line in point-slope form when the slope is -3 and the given point is (1,-4). Move the slider and the point to check your answer.
(6.) Rearrange this equation into slope-intercept form (y=mx+b). Move slider 2 to the right to check your answer.