Types
Common
knowledge
knowledge
Solve
Graphing
Slope
100
In a system of linear equations the two linear equations have the same slope and the same y-intercept, how many solutions are there?
Infinitely many solutions
100
True or False:
m represents the slope in slope intercept form.
True
100
Solve the system of linear equations by graphing:
Y = 2x + 9
Y= -x + 6
(-1,7)
100
Double! See PPT.
C.
100
What is Slope?
Slope is a value that describes the steepness and direction of a line; the rate of change between y and x. the rise over run. change in y over change in x.
200
In a system of linear equations the linear equations have the different slopes. How many solutions are there?
One solution
200
How do we write solutions to systems of linear equations?
(x,y)
200
Solve the system of linear equations by graphing:
y = 2x + 5
y = 1/2x - 1
(-4,-3)
200
What are linear equations?
Linear equations are an algebraic equation of the form y = mx+b
200
What is a Y intercept?
The y-intercept is the point where the graph intersects the y-axis.
300
In a system of linear equations the two linear equations have the same slope but different y-intercepts. How many solutions are there?
No solution
300
Daily Double!
A cell phone company charges $20 for a customer to open a new account and $35 for each month of service. Write a linear function to represent the total cost, y, a new customer would pay for x months of service.
y = 35x + 20
300
Solve the system of linear equations by substitution:
2x = y - 10
x + 7 = y
(-3,4)
300
What is the solution to the system of linear equations?
(2,2)
300
What makes a slope undefined?
A vertical line.
400
The system of linear equations is given below, how many solutions are there?
y = 2x + 3
2y = 4x + 6
Infinitely many solutions
400
What does it mean to "find the solution" to a system of linear equations?
It means to find the point of intersection
400
Solve the system of linear equations by elimination:
x + 4y = 1
3x + 5y = 10
(5,-1)
400
What is the solution?
(-1,-1)
400
Whats the slope intercept formula?
Y = mx + b
500
The system of linear equations is given below, how many solutions are there?
4x + 2y = 8
6x + 3y = 6
No solution
500
True or false: a linear system of two equations can have exactly two solutions.
False
500
Solve the system of linear equations:
y = 5x - 9
y = 5x + 9
No solution.
500
How many solutions does the system of linear equations have?
One
500
How do we determine the slope of a line passing through two points? (formula)
y2 - y1 / x2 - x1