In a system of linear equations the two linear equations have the same slope and the same y-intercept, what type of solution set is it?
Infinitely many solutions
True or False:
It does not matter which method you use when solving systems of linear equations because they will all give you the same answer.
True
Solve the system of linear equations by graphing:
Y = 2x + 9
Y= -x + 6
(-1,7)
What is Graphing?
A diagram that exhibits a relationship, often functional, between two sets of numbers as a set of points having coordinates determined by the relationship.
What is Slope?
Slope is a value that describes the steepness and direction of a line.
In a system of linear equations the linear equations have the different slopes. What type of solution set is the system?
One solution
How do we write solutions to systems of linear equations?
(x,y)
Solve the system of linear equations by graphing:
y = 2x + 5
y = 1/2x - 1
(-4,-3)
What are linear equations?
Linear equations are an algebraic equation of the form y = mx+b
What is a Y intercept?
The y-intercept is the point where the graph intersects the y-axis.
In a system of linear equations the two linear equations have the same slope but different y-intercepts. What type of solution set is the system?
No solution
At least how many linear equations will be in a system of linear equations?
At least 2 linear equations
Solve the system of linear equations by substitution:
2x = y - 10
x + 7 = y
(-3,4)
What is the solution to the system of linear equations?

(2,2)
What makes a slope undefined?
A vertical line.
The system of linear equations is given below, what is the solution set?
y = 2x + 3
2y = 4x + 6
Infinitely many solutions
What does it mean to "find the solution" to a system of linear equations?
It means to find the point of intersection
Solve the system of linear equations by elimination:
x + 4y = 1
3x + 5y = 10
(5,-1)
What is the solution?

(-1,-1)
Whats the slope intercept formula?
Y = mx + b
The system of linear equations is given below, what is the solution set?
4x + 2y = 8
6x + 3y = 6
No solution
What is a linear equation we use?
(Correct?)
Solve the system of linear equations:
y = 5x - 9
y = 5x + 9
No solution.
How many solutions does the system of linear equations have?

One
Slope is a value that describes the steepness and direction of a line.
Positive, Negative, Zero and Undefined.