Solve by Graphing
Number of Solutions
Systems Trivia
100
What is the solution?
(-1,1)
100
How many solutions would a system of linear equations have if the equations are parallel and different y-intercepts?
Zero Solutions
100
What is the slope of this equation?
y = -1/2 x +7
-1/2
200
How many solutions are there?
No Solutions
200
How many solutions would a system of linear equations have if the equations are parallel and have the same y-intercept?
Infinite Solutions
200
In the form y = mx + b
What do m and b represent?
m = slope
b = y-intercept
300
Solve Using Graphing:
y = 5/3x + 2
y = -3
300
Is there 1 solution, No solution, or Infinite solutions for the following question?
3x - y = 19
-3x + y = 10
No Solutions
300
What is the y-intercept of this equation?
y = 6x +5
(0,5)
400
Solve this by graphing:
y = 2x - 4
y = -1/3 x + 3
(3,2)
400
How many solutions does the system have?
3y + 4x = 6
12y + 16x = 24
These are the same exact line, therefore they have
Infinite Solutions
400
What is true of lines with no solution?
They are parallel
-or-
They have the same slope, but different y intercepts
500
Solve the systems of linear equations by graphing:
500
How many solutions does the system have?
-6y + 2 = -4x
y - 2 = x
Different slopes
One solution
y=2/3x+1/3
y=x+2
500
What does it mean if a system of equations has infinite solutions?
They are the same line
-or-
They have the same slope, but same y intercepts