Practice Writing the Equations of Parallel and Perpendicular Lines
Use graph paper or download these graphs to complete the following.
1. Graph the line \(y = 3x – 1\). Next, graph a line parallel to the line through the point \((1, -1)\). Write the equation of the line in Slope-Intercept Form.
2. Graph the line \(y = 3x – 2\). Next, graph the line perpendicular to the line and through the point \((2, 4)\). Write the equation of the line in Standard Form.
3. Graph a line segment with endpoints \((3, 1)\) and \((7, 1)\). Find the midpoint and write the equation of the line perpendicular to the line segment at the midpoint in Slope-Intercept Form. (Note: the midpoint of a segment is the average of its endpoints.)
4. Graph a line segment with endpoints \((1, 3)\) and \((5, 7)\). Find the midpoint and write the equation of the perpendicular bisector of this line in Slope-Intercept Form. (Hint: the midpoint is the average of the \(x\)- coordinates and the \(y\)-coordinates.)
For more practice go to Khan Academy quiz and practice. Then close the link to return: Khan Academy.