2.4 – Parallel and Perpendicular Lines

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Presentation transcript:

2.4 – Parallel and Perpendicular Lines

Slope = measure of steepness of a particular line/graph of an equation Recall… Slope = measure of steepness of a particular line/graph of an equation m = Rise/Run OR

We can also look at slopes of multiple lines Parallel ( || ): two lines are considered parallel, if and only if, their rise and run are both the same amount IE, m1 = m2 Never intersect

Example. Find an equation, in slope-intercept form, that is parallel to the line 3x + 2y = 3y – 7 and passes through (1,2). How do we find the slope of the given line?

Perpendicular ( ): two lines are perpendicular, if and only if, they are opposite reciprocals OR m1(m2) = -1 If horizontal and vertical, slopes of undefined and zero must occur Intersection is 900 angle

Example. Find an equation, in slope-intercept form, that is perpendicular to the line 3x + y = 7 and passes through the point (-2, 5). How can we find the given slope? Same? OR?

Example. Determine if the two lines 3x + y = 2 and x + 3y = 2 are perpendicular, parallel, or neither.

Example. A parallelogram is a quadrilateral formed by two pairs of opposite parallel sides. Determine if following points form a quadrilateral (vertices listed counter-clockwise). {(-2,2), (-5,-2), (2, -3), (5,1)}

Assignment Pg. 161 1-25 even, 33