LINR 1 | Lesson 4 | Practice (Writing the Equation of Parallel and Perpendicular Lines)

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 mean 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.)


Check solutions here.

For more practice go to Khan Academy quiz and practice.  Then close the link to return:  Khan Academy.

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