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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
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