Solving by Graphing
Substitution
More Substitution
Linear Equations
Random
100
What is the solution?
(-1,1)
100
Solve the systems of equations:
-3x + 4y = -2
y = -5
(-6, -5)
100
Solve the systems of equations:
y = 4x + 7
y = -3x - 21
(-4, -9)
100
What is the definition of slope
rise over run
100
What is it called when you have 2 or more equations with 2 or more variables?
A system of equations
200
Solve using Graphing
y= 2x + 1
y= -x + 7
(2, 5)
200
Solve the systems of equations:
-5x - 5y = 10
y = -4x -17
(-5, 3)
200
Solve the systems of equations:
x - y = 12
y = -4x + 23
(7, -5)
200
What is the slope of this line?
y = -3x + 6
-3
200
What would a system of equations with infinite solutions look like on a graph?
One line.
300
Solve Using Graphing:
y = 5/3x + 2
y = -3
300
Solve the systems of equations:
y = -2x - 9
3x -6y = 9
(-3, -3)
300
Solve the systems of equations:
y = -5x + 4
-10x - 2y = 12
No Solution
300
What does the b represent in the equation
y = mx + b
y-intercept
300
What would a system of equations with one solution look like on a graph?
Two lines that intersect at one point.
400
How many solutions are there?
Infinitely Many Solutions
400
Solve the systems of equations:
-8x - 5y = -24
-x + y = 10
(-2, 8)
400
Solve the systems of equations:
x + 2y = -18
8x - 7y = 17
(-4, -7)
400
Rewrite the equation in slope-intercept form.
2y + 4x = 8
y = -2x +4
400
Solve the following System of Equations using ANY method:
x = 3y - 5
2x - 3y = -4
(1, 2)
500
Solve the systems of linear equations by graphing:
500
Solve the systems of equations:
-8x + y = -7
16x - 2y = 14
Infinitely Many Solutions
500
Solve the systems of equations:
3x + y = -14
9x + 3y = -42
infinite solutions
500
Write the steps you would take to graph this linear equation:
y = -1/3 x + 2
1. Plot the y-intercept at positive 2
2. From that point, go down one and to the right 3
500
What would a systems of equations with no solution look like on a graph?
Parallel Lines