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Geometry 3.6. Lines in the Coordinate Plane. Learning Targets. Students should be able to… Graph lines and write their equations in slope-intercept and point-slope form Classify lines as parallel, intersecting or coinciding. Warm-up. Warm-up Day 2. Homework Check. Homework Check.
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Geometry 3.6 Lines in the Coordinate Plane
Learning Targets • Students should be able to… • Graph lines and write their equations in slope-intercept and point-slope form • Classify lines as parallel, intersecting or coinciding.
Practice A (if needed) • Skip if not needed.
3-6 Notes Part 2 If you are given two lines they either… 1.Parallel 2. Intersecting 3. Coinciding (same line) Think about… How do you know what the lines will do when you are given two equations?
3-6 Notes Part 2 Classifying Pairs of lines Steps 1. First solve all equations in slope intercept form. 2. Then compare slopes and intercepts to classify.
3-6 Notes Part 2 Examples: Determine whether the lines are parallel, intersect, or coincide. 1. y = 2x + 3, y = 2x – 1
3-6 Notes Part 2 Examples: Determine whether the lines are parallel, intersect, or coincide. 2. y = 3x – 5, 6x – 2y = 10
3-6 Notes Part 2 Examples: Determine whether the lines are parallel, intersect, or coincide. 3. 3x + 2y = 7, 3y = 4x + 7
3-6 Notes Part 2 Examples: Determine whether the lines are parallel, intersect, or coincide. 4. 3x + 5y = 2, 3x + 6 = -5y
3-6 Notes Part 2 Examples: Determine whether the lines are parallel, intersect, or coincide. 5. y = 3x + 7, y = -3x - 4
3-6 Notes Part 2 Examples: Determine whether the lines are parallel, intersect, or coincide. 6. 2y – 4x = 16, y – 10 = 2(x – 1)
3-6 Homework • Page 194 #3 – 21 odd, 25 – 31 odd