3.6 Parallel Lines in the Coordinate Plane

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Presentation transcript:

3.6 Parallel Lines in the Coordinate Plane Geometry 3.6 Parallel Lines in the Coordinate Plane

Geometry 3.6 Parallel Lines in the Coordinate Plane Goals Find the slope of lines on the coordinate plane. Determine if two lines are parallel. February 21, 2019 Geometry 3.6 Parallel Lines in the Coordinate Plane

Geometry 3.6 Parallel Lines in the Coordinate Plane Review: Slope Slope = Rise Run Run = 6 (3, 3) Rise =4 (-3, -1) February 21, 2019 Geometry 3.6 Parallel Lines in the Coordinate Plane

Geometry 3.6 Parallel Lines in the Coordinate Plane Reminder Lines with a positive slope rise to the right. Lines with a negative slope rise to the left. Lines with zero slope are horizontal. Lines with no slope are vertical. February 21, 2019 Geometry 3.6 Parallel Lines in the Coordinate Plane

Geometry 3.6 Parallel Lines in the Coordinate Plane Another Example Slope = Rise Run Run = -3 (-1, 3) Rise =3 (2, 0) February 21, 2019 Geometry 3.6 Parallel Lines in the Coordinate Plane

We can also use the formula. Given two points and The slope is February 21, 2019 Geometry 3.6 Parallel Lines in the Coordinate Plane

Geometry 3.6 Parallel Lines in the Coordinate Plane Example Find the slope of the line that passes through (9, 12) and (6, -3). February 21, 2019 Geometry 3.6 Parallel Lines in the Coordinate Plane

Geometry 3.6 Parallel Lines in the Coordinate Plane Postulate 17 Parallel lines have the same slope. We write: m1 = m2 February 21, 2019 Geometry 3.6 Parallel Lines in the Coordinate Plane

Geometry 3.6 Parallel Lines in the Coordinate Plane Summary Slope measures the steepness of a line. Slope is the Rise/Run. Parallel lines have the same slope. February 21, 2019 Geometry 3.6 Parallel Lines in the Coordinate Plane

Geometry 3.6 Parallel Lines in the Coordinate Plane Homework February 21, 2019 Geometry 3.6 Parallel Lines in the Coordinate Plane