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GeoGebraAula GeoGebra

Linear Equations - Point-Slope Form

The line on the graph can be manipulated by using slider 1 and point A. 1. Move slider 1. What characteristic of the line is changing? 2. Move point A around. Describe how the equation of the line changes as you do this. 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). 7. In what situations would this form of the equation be useful?