Download Additional Practice Para and Per Broden

LO
•SWBAT write the equation
for the parallel or
perpendicular lines given a
linear equation and a point.
•A.2E and A.2F
DOL
• Given 4 linear equations and
points, students will correctly
write the equations for the
parallel or perpendicular lines at
least 3 times.
Warm Up – Thursday 10/29
1. Write an equation for the line that is perpendicular to
3x-4y = 8 and passes through (-6, 5).
2. What are 4 different ways to define slope?
3. Given two points: (-3, -0.125) and (4, 2.5)
A. What is the rate of change of the line?
B. What is the rate of change of a parallel line?
C. What is the rate of change for the perpendicular line?
4. Simplify 3x – 2(x + 7) –(2 – x) + 21
Warm-Up 2 DOL from yesterday
•This Week:
• HW Due Today
 Make sure to SHOW WORK
• Extra Credit due next Wednesday
Tutoring This Week
Morning
(8:05 – 8:40 AM)
Afternoon
(4:15 – 4:45 PM)
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
Saturday School- Broden
Today’s Goal:
SWBAT write the equation for
the parallel or perpendicular
lines given a linear equation and
a point. A.2(F) A.2€
Our Goals This Week:
Be Good Citizens
100%
Exit ticket
70%
HW
90%
Why This Matters
Perpendicular and parallel lines are a part
of every day.
Review Key Terms
Review Key Terms
Review Key Terms
Negative Opposites
Guided Practice
1
2
2
7
4
m=4
Y = 4x + ___
1
m=−
4
1
Y=− x
4
+ ___
2
m=
7
2
Y= x
7
−
+ ___
7
m=−
2
7
Y=− x
2
-13
1
1
m=−
2
1
Y=− x
2
1
2
m = -9
+ ___
m=2
+ ___
-9
Y = 2x + ___
Y = -9x + ___
1
m=
9
1
Y= x
9
+ ___
I do!
• Write the equation in slope intercept form of the line parallel and the
line perpendicular to the given line through given point.
1) y = 4x + 7
(─2, ─9)
Parallel
Y = 4x – 1
m=4
Y = 4x + b
(-9) = 4(-2) + b
-9 = -8 + b
-1 = b
Perpendicular
1
m=−
4
1
Y=− x
4
Y=
+b
1
− x
4
1
(-9) = − (-2)
4
1
-9 = + b
2
-9.5 = b
– 9.5
+b
I do!
• Write the equation in slope intercept form of the line parallel and the
line perpendicular to the given line through given point.
1) y = 4x + 7
Parallel
m=4
(─2, ─9)
Y = 4x – 1
X
mX + b
Y
-1 -9
-2 4(-2) + ___
-8
Perpendicular
m=
1
−
4
-2
Y=
1
− x
4
1
− (-2)
4
½
– 9.5
+ -9.5
__ -9
We do!
• Write the equation in slope intercept form of the line parallel and the
line perpendicular to the given line through given point.
2x ─ 5y = 10
**Correction**
5y = -2x + 10
2
2) 2x ─ 5y = 10 (10, ─7)
y=− x+2
5
Parallel
2
5
2
− x
5
m=−
Y=
Perpendicular
Y=
+b
2
(-7) = − (10) + b
5
-7 = -4 + b
-3 = b
2
− x
5
–3
5
m=
2
5
Y= x
2
Y=
+b
(-7) =
5
x
2
5
(10)
2
-7 = 25 + b
32 = b
+32
+b
You do!
• Write the equation in slope intercept form of the line parallel and the
line perpendicular to the given line through given point.
3x + 4y = 16
4y = -3x + 16
3
3) 3x + 4y = 16 (12, ─5)
y=− x+4
4
Parallel
3
m=−
4
3
Y=− x+b
4
3
(-5) = − (12)
4
-5 = -9 + b
4=b
Y=
+b
3
− x
4
Perpendicular
+4
4
m=
3
4
Y= x
3
Y=
+b
4
x
3
4
(12)
3
– 21
(-5) =
+b
-5 = 16 + b
-21 = b
You do!
• Write the equation in slope intercept form of the line parallel and the
line perpendicular to the given line through given point.
3x + 4y = 16
4y = -3x + 16
3
3) 3x + 4y = 16 (12, ─5)
y=− x+4
4
Parallel
3
−
4
Y=
m=
X
mX + b
12
3
− ( 12 )
4
-9
3
− x
4
4
+ __
Perpendicular
+4
Y
-5
m=
4
3
4
x
3
Y = – 21
X
mX + b
Y
4
12
(12) +-21
___ -5
3
16
White Board Practice
If given these two points from a linear function: (2,8) and (4, 14)
•What is the slope of the line? __________
•What is the slope of a parallel line?
•What is the slope of a perpendicular line?
•__________
• Given the graph to the right:
• What is the slope of the line?
__________
• What is the slope of a parallel
line? __________
• Write the equation of a line
parallel to line A and passes
though the point
(1,1)______________
y
9
8
7
6
5
4
3
2
1
x
-9
-8
-7
-6
-5
-4
-3
-2
-1
1
-1
-2
-3
-4
-5
-6
-7
-8
-9
2
3
4
5
6
7
8
9
• What is the opposite reciprocal?
• M= 5
• What is the opposite reciprocal?
• M=
1
2
• What is the opposite reciprocal?
• M= -9
4x  y  3
B.
x  4y  8
What do you notice
about the graph of each
line?
y
5
4
3
2
1
x
-5
-4
-3
-2
-1
1
-1
-2
-3
-4
-5
2
3
4
5
What do you notice
about the equation for
each line?
Independent
practice
•Directions
• Do at least 7 problems. (cross out #9)
• ALL of the front should be done
• If you have a question, ASK!
• Check work at the board, help your
neighbor.
• You will be turning this in for a grade.
Perpendicular DOL
Parallel DOL