Bell Work 1/12/15Write the equation of the line.

1. 6, 1 , 3, 2 1x 1y 2x 2y

2 1

2 1

y ym

x x

1 1y y m x x

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 (para.)

04/19/23

Heading

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

5.7A

NotesGraph the lines.

2 3, 2 4y x y x Ex.

2

1m

3bb = beginningm = move

2

1m

4b

Are they parallel?

All you have to do is see if the slopes

are the same.

Yes

Notes

= Two lines that never intersect.

• Parallel Lines

• Their slopes are the SAME.

Graph a set of parallel lines.

NotesDetermine if the two lines are PARALLEL.

3 5, 3 6y x y x Ex.

3m 3m

Find the slope first.

No

Are they the same?

1 13, 7

2 3y x y x

Ex.

1

2m

1

3m

No

5 1, 5 3y x y x Ex.

5m 5mYes

4 42, 9

3 3y x y x

Ex.

4

3m

4

3m

Yes

Now you try.

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

2, 1 , 3 4y x Ex.

1x 1y

1 1y y m x x

y x 1 3 2

1 3 2y x 1 3 6y x 1 1

3 5y x

Label your points.

What is our slope?

m

2, 5 , 4 7y x Ex.

1x 1y

1 1y y m x x

y x 5 4 2

5 4 2y x 5 4 8y x 5 5

4 3y x

mNow you try.

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

14, 3 , 2

2y x

Ex.1x 1y

1 1y y m x x

y x 31

24

13 42

y x

13 22

y x 3 3 1

12

y x

Label your points.

What is our slope?

m

23, 4 , 6

3y x

Ex.1x 1y

1 1y y m x x

y x 42

3 3

24 3

3y x

24 2

3y x 4 4

22

3y x

m

1 1

Now you try.

Summary

To find the equation of a line parallel to another line and that goes through a specific point you first just take the ______ from the given line since parallel lines have the _____ slope. With that slope and the given point plug it into the _____-slope formula and solve for __.

slopesame

point y

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 5.7A

1. 2 5, 2 4y x y x 2. 9 1, 9 4y x y x

3 23. 4, 8

2 3y x y x

7 74. 6, 2

8 8y x y x

5. 2, 1 , 3 4y x 6. 4, 7 , 4 6y x

27. 3, 2 , 6

3y x 5

8. 4, 3 , 42

y x

Determine if the two lines are PARALLEL.

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 PARALLEL to the given line.

2, 6 , 5 2y x