Date post: | 31-Dec-2015 |
Category: |
Documents |
Upload: | anthony-west |
View: | 224 times |
Download: | 2 times |
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