# 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.

1. 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.

1. 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.)

1. 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.

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