Bell Work 1/13/15

1. 4, 7 , 2 9y x 1x 1y

1 1y y m x x

m

32. 6, 5 , 7

2y x

1x 1y

1 1y y m x x

m

Write in slope-intercept form the equation of the line passing through the given point and PARALLEL to the given line.

Yesterday’s Homework

1. Any questions?2. Please pass your homework to the front.

• Make sure the correct heading is on your paper.• Is your NAME on your paper?

• Make sure the homework is 100% complete.• Incomplete work will NOT be accepted.

Slopes of Parallel and Perpendicular Lines (perp.)

04/18/23

Heading

TSWBAT: write an equation in slope-intercept form given a point and a perpendicular line.

Students understand the concepts of parallel lines and perpendicular lines and how those slopes are related. Students are able to find the equation of a line perpendicular to a given line that passes through a given point.

5.7B

NotesGraph the lines.

2 36, 1

3 2y x y x

Ex.

2

3m

6bb = beginning

m = move

3

2m

1b

= Two lines that intersect at right angles.

• Perpendicular Lines

• Their slopes are OPPOSITE RECIPROCALS.

NotesFind the opposite reciprocal.

7

9

Ex.

9

7

5

4

Ex.

4

56

Ex.

1

6

Now you try.

7

2

Ex.

1

3

Ex.

8

Ex.

2

73

1

8

NotesDetermine if the two lines are PERPENDICULAR.

5 62, 1

6 5y x y x

Ex.

5

6m

6

5m

Yes

1 14, 5

2 2y x y x

Ex.

1

2m

1

2m

No

14 1, 3

4y x y x

Ex.

4m1

4m

No

14, 3 8

3y x y x

Ex.

1

3m 3m

Yes

Now you try.

NotesWrite in slope-intercept form the equation of the line passing through the given point and PERPENDICULAR to the given line.

4, 6 , 2 7y x Ex.

1x 1y

1 1y y m x x

y x 61

24

16 42

y x

16 2

2y x 6 6 1

42

y x

Label your points.

What is our slope?

1

2m

6, 1 , 3 9y x Ex.

1x 1y

1 1y y m x x

y x 11

3 6

11 6

3y x

11 2

3y x 1 1

11

3y x

1

3m

1 1

Now you try.

NotesWrite in slope-intercept form the equation of the line passing through the given point and PERPENDICULAR to the given line.

12, 1 , 2

4y x

Ex.1x 1y

1 1y y m x x

y x 1 4 2

1 4 2y x 1 4 8y x 1 1

4 7y x

Label your points.

What is our slope?

4m

22, 7 , 5

3y x

Ex.1x 1y

1 1y y m x x

y x 73

22

37 2

2y x

37 3

2y x 7 7

34

2y x

3

2m

1

Now you try.

Summary

To find the equation of a ____ perpendicular to another line and that goes through a specific point you first just take oppoiste __________ of the slope from the given line. With that slope and the given point plug it into the point-______ formula and solve for y.

line

reciprocal

slope

Today’s Homework

1. Pencil ONLY.2. Must show all of your work.• NO WORK = NO CREDIT

3. Must attempt EVERY problem.4. Always check your answers.

Rules for Homework

Homework 5.7B

4 31. 9, 5

3 4y x y x

6 52. 5, 9

5 6y x y x

13. 5, 2 7

2y x y x

14. 5 3, 4

5y x y x

35. 9, 8 , 6

4y x 3

6. 3, 1 , 72

y x

17. 2, 2 , 1

3y x 8. 8, 3 , 4 9y x

Determine if the two lines are PERPENDICULAR.

Write in slope-intercept form the equation of the line passing through the given point and PARALLEL to the given line.

Complete the Ticket Out the Door without talking!!!!!

Talking = time after the bell!

Ticket Out the Door

Put your NAME on the paper.

When finished, turn your paper face DOWN.

Write in slope-intercept form the equation of the line passing through the given point and PERPENDICULAR to the given line.

26, 5 , 5

3y x