Download presentation

Presentation is loading. Please wait.

Published byRuth Simon Modified over 7 years ago

1
What is slope intercept form? What are parallel lines? What is point slope form? What is standard form? Warm up

2
Slope Intercept Form of a line The linear equation y = mx + b is written in slope- intercept form, where m is the slope and b is the y- intercept Y=mx + b Slope = m Y-intercept = b

3
Find the Slope and y-intercept of the following equations in slope intercept form Y= 4x + 7 Y= 6x -3 Y= -4x +3

4
Graph Graph the equation Y = -3x + 2

5
Parallel lines What are parallel lines? How would you draw them? What kind of slopes would they have? What kind of y intercepts would they have?

6
Parallel Lines Parallel lines are different lines in the same plane that never intersect. Two lines are parallel if they have the same _____ and different ______________.

7
Parallel lines What would the slope and y-intercept have to be for a line to parallel to the following lines. y = 4x – 5 y = -2x + 3

8
Parallel lines Which of the following lines are parallel? y = 2x + 3 y = -2x + 3 y = 2x -2 Which of the following lines are parallel? y = 4x + 5 y = -3x + 5 y = -3x + 4

9
Graph the lines how do you know for certain if the lines are parallel? Graph the equation Y = -3x + 2 Y = -3x -3

10
Graph the lines how do you know for certain if the lines are parallel? Graph the equation Y = 2x + 3 Y = 2x -4

11
Parallel lines Which of the following lines are parallel? 3y = -9x -5 2y – 6x = -5 12x + 4y = 1 Which of the following lines are parallel? 3x + 2y =6 3x -2y = 6 6x + 4y = 6

12
Parallel Lines What kind of slopes do parallel lines have? What kind of y-intercepts do parallel lines have? Why do parallel lines have the same slope? Why do parallel lines have different y- intercepts?

13
Perpendicular lines What are perpendicular lines? How would you draw them? What kinds of slopes would perpendicular lines have?

14
Perpendicular lines Two lines in a plane are perpendicular if their slopes are ___________ ___________. Their y-intercepts can be the same or different. opposite (flip the sign) reciprocal (flip the fraction)

15
Perpendicular lines What would the slope need to be for a line to be perpendicular to the following lines? y = ½x + 3 y = -3x -2

16
Perpendicular lines What would the slope need to be for a line to be perpendicular to the following lines? y = - ⅔x + 7 y = 6x -4

17
Perpendicular lines Determine whether the lies are perpendicular y = 3x + 2 y = -3x -1 y = ⅕x - 4 y = -5x + 3

18
Perpendicular lines Determine whether the lies are perpendicular y = 2x + 3 y = 2x -1 y = ⅛x - 2 y = -8x + 1

19
Graph the lines how do you know for certain if the lines are perpendicular? Graph the equation Y = -3x + 2 Y = 1/3x -3

20
Graph the lines how do you know for certain if the lines are perpendicular? Graph the equation Y = 2x + 3 Y = -1/2x + 2

21
Perpendicular lines Which of the following lines are perpendicular? 3y = -9x -5 6y – 2x = -5 12x + 4y = 1 Which of the following lines are perpendicular? 3x + 2y =6 3x -2y = 6 6x + 4y = 6

22
Perpendicular lines What kind of slopes do parallel lines have? What kind of y-intercepts do parallel lines have? Why do parallel lines have the same slope? Why do parallel lines have different y-intercepts? What kind of slopes do perpendicular lines have? What kind of y-intercepts do perpendicular lines have? What does opposite reciprocal mean?

23
Finding equations Find the Equation for the line described Passes through point (2, 4) parallel to y = 2x – 5 Passes through point (-3, 2) perpendicular to y = -1/3x + 2

24
Finding equations Find the Equation for the line described Passes through point (-4, 5) parallel to y = -3x + 2 Passes through point (2, 4) perpendicular to y = 2x + 2

Similar presentations

© 2023 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google