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Warm Up a)Graph y + 3= 2(x + 1) b) What is the slope & the y-intercept?

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Presentation on theme: "Warm Up a)Graph y + 3= 2(x + 1) b) What is the slope & the y-intercept?"— Presentation transcript:

1 Warm Up a)Graph y + 3= 2(x + 1) b) What is the slope & the y-intercept?

2 Homework Check 4.11

3 Parallel and Perpendicular Lines

4 From our discovery worksheet we found that if two lines have the same slope, then they are parallel.

5 1) What is the slope of a line that is parallel to the line y=4x-7? 2) What is the slope of a line that is parallel to the line y = -1/2x – 4?

6 3)Write the equation of the line parallel to y = -2x + 1 that has a y-intercept of -4. 4) Write the equation of the line parallel to y = 1/2x – 6 that has a y-intercept of 2.

7 5) Find the equation of the line parallel to y=3x+6 passing through the point (-1,9).

8 You try! Write an equation for the lines parallel to the given lines and passing through the given points. 6)y=1/2x-4(4,2) 7) y=-2x+3(1,2)

9 8) Are the lines y = -2x + 4 and 5x + 10y = 3 parallel ?

10 9) Are the lines -3x + y = 4 and -6x + 2y = -1 parallel?

11 From our discovery worksheet, we saw that perpendicular lines have slopes that are negative reciprocals of each other.

12 What is the negative reciprocal of each slope? a)1b) -5 c) 1/3 d) -2/5

13 1) What is the slope of a line that is perpendicular to the line y=-3x-7? 2) What is the slope of a line that is perpendicular to the line y = 1/2x – 4?

14 3)Write the equation of the line perpendicular to y = -3x + 1 that has a y- intercept of 5. 4) Write the equation of the line perpendicular to y = 2/3x – 1 that has a y-intercept of -7.

15 5) Find the equation of the line perpendicular to y = x+6 passing through the point (2,-3).

16 You try! Write an equation for the lines perpendicular to the given lines and passing through the given points. 6)y = -x + 1(2,-3) 7) y = 2x + 4(4,2)

17 8) Are the lines 2x + y = 4 and -3x + 6y = 1 perpendicular ?

18 9) Are the lines 3x + 4y = 5 and 6x + 8y = -1 perpendicular?

19 Coming up…. HW 4.12 Unit 4 Test – Friday! Tutoring today!


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