Unit 5: Analytic Geometry Determine the equation of this line: Minds On.

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Presentation transcript:

Unit 5: Analytic Geometry Determine the equation of this line: Minds On

Unit 5: Analytic Geometry Determine the equation of your graph. Compare how your graph looks with how your partner’s graph looks Compare your equations Lesson 7 – Special Cases

Unit 5: Analytic Geometry Compare your Graphs Lesson 7 – Special Cases

Unit 5: Analytic Geometry Compare your equations Lesson 7 – Special Cases

Unit 5: Analytic Geometry What can we conclude? Lesson 7 – Special Cases

Unit 5: Analytic Geometry Do you think this is always true? Why or why not? Lets find out! With your partner come up with 2 sets of equations with equal slopes and then we will graph them. Are they parallel? Lesson 7 – Special Cases

Unit 5: Analytic Geometry Determine the equation of your graph. Compare how your graph looks with how your partner’s graph looks Compare your equations Lesson 7 – Special Cases

Unit 5: Analytic Geometry Compare your graphs Lesson 7 – Special Cases

Unit 5: Analytic Geometry Compare your equations Lesson 7 – Special Cases

Unit 5: Analytic Geometry What can we conclude? Lesson 7 – Special Cases

Unit 5: Analytic Geometry Do you think this is always true? Why or why not? Lets find out! With your partner come up with 2 sets of equations with slopes that are negative reciprocals and we will graph them. Are they perpendicular? Lesson 7 – Special Cases

Unit 5: Analytic Geometry A line is parallel to the line y = 3x -7. What could the equation of the line be? How do you know? Are there other possibilities? Could the line go downward to the right? Lesson 7 – Special Cases

Unit 5: Analytic Geometry Two lines are perpendicular. One has a y-intercept of 4 and the other has a y-intercept of -3. What could the equations be? How do you know? Can both lines have positive slopes? Can both lines have negative slopes? Can either line have the positive slope? Lesson 7 – Special Cases

Unit 5: Analytic Geometry Let’s determine the slopes of these lines: Do you see a pattern? Lesson 7 – Special Cases

Unit 5: Analytic Geometry Lesson 7 – Special Cases

Unit 5: Analytic Geometry Horizontal lines have a slope of zero. m = 0 Lesson 7 – Special Cases

Unit 5: Analytic Geometry Let’s determine the slope of these lines: Do you see a pattern? Lesson 7 – Special Cases

Unit 5: Analytic Geometry Lesson 7 – Special Cases

Unit 5: Analytic Geometry Lesson 7 – Special Cases

Unit 5: Analytic Geometry Remember, the y-intercept is represented by b. And slope is represented by m. The equation of a line is y = mx + b Lesson 7 – Special Cases

Unit 5: Analytic Geometry Determine the equation of this line: Lesson 7 – Special Cases

Unit 5: Analytic Geometry What about horizontal and vertical lines? Lesson 7 – Special Cases

Unit 5: Analytic Geometry Determine the equation of this line: Lesson 7 – Special Cases

Unit 5: Analytic Geometry Determine the equation of this line: Lesson 7 – Special Cases

Unit 5: Analytic Geometry Find the equation of a line that is parallel to the line y = 2x – 4 and passes through the point (4, 1). Lesson 7 – Special Cases

Unit 5: Analytic Geometry Determine the equation of a line with a slope of 0 and a y-intercept of 4. Lesson 7 – Special Cases

Unit 5: Analytic Geometry Find the equation of a line that is perpendicular to the line y = -3x + 6 and passes through the point (-2, 5). Lesson 7 – Special Cases

Unit 5: Analytic Geometry Find the equation of a line that does not have a y-intercept, but has an x-intercept of 7. Lesson 7 – Special Cases

Unit 5: Analytic Geometry Practice  Pg. 140 #2-10, 12, 13, 15 Lesson 7 – Special Cases