5.1- Intersecting, Parallel, or Same?
5.2- Solving by graphing
5.3- Solving by Substitution
5.4- Solving by Elimination
Misc.
100
The same lines have ___ solutions.
Infinite
100
What is the solution to this graph?
(2,2)
100
Use the substitution method to solve:
x+y=6
x=3y-2
(4,2)
100
3𝑥−2𝑦=10
7𝑥 + 2𝑦 = 30
(4,1)
100
What is the 3rd planet from the sun?
Earth
200
Are these lines intersecting, parallel, or the same? Why?
y=-3x+4
y=-3x+3
Parallel-because they have the same slope and different y-intercepts.
200
Graph the following equations:
y=x-2
y=-2x+1
Teacher check
200
4x-3y=-15
x+y=5
(0,5)
200
−𝑥+5𝑦=19
𝑥 + 2𝑦 = 16
(6,5)
200
What is one of Portland's nicknames?
Stumptown, Rose City, City of Roses, Rip City, PDX, Bridgetown, P-town
300
Are these lines intersecting, parallel, or the same?
y=3+1/2x
y=1/2x+3
Same
300
Graph the following equations and write the solution:
y=x-9
x+y=-1
Teacher check
Solution is (4,5)
300
𝑦+2𝑥=3
𝑦 − 𝑥 = −9
(4,-5)
300
3𝑥+4𝑦=23
3𝑥 − 2𝑦 = 11
(5,2)
300
How many siblings does Mrs. Mueller have?
2
400
Are these lines intersecting, parallel, or the same? Why?
y=-2x+5
y=2x+5
Intersecting-because they have different slopes.
400
Graph the following equations and identify the solution:
2x+y=2
y=5/2x-7
Teacher checks graph
Solution: (2,-2)
400
−2𝑥=𝑦
7𝑥 + 3𝑦 = 3
(3,-6)
400
10𝑥−6𝑦=54
−4𝑥 + 3𝑦 = −24
(3,-4)
400
Who did the Timbers play on Sunday?
Minnesota Loons
500
How many solutions do these lines have?
-3x+2y=6
y=-2/3x-4
One (They are intersecting lines.)
500
Graph the following equations:
y=1/2x+1
y=4
Teacher checks graph.
Solution is (6,4)
500
−6𝑥+5𝑦=16
𝑥 = 5 − 3𝑦
(-1,2)
500
4𝑥−𝑦=−2
2𝑥 + 𝑦 = 2
(0,2)
500
What state did Mrs. Mueller move from?
North Dakota