Solving by Graphing
Solving 1
Solving 2
Linear Equations
Elimination
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 would the solution be if the two equations were the same?
Infinite solutions
200
How do we know what a solution is on a graph?
Where the lines cross
200
Solve the systems of equations:
-5x - 5y = 10
y = -4x -17
(-5, 3)
200
Solve the systems of equations:
x - y = 12
4x + y = 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:
2x + y = - 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