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

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Presentation transcript:

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

Homework Check 4.11

Parallel and Perpendicular Lines

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

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?

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.

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

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)

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

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

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

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

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?

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.

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

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)

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

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

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