How many Solutions?
Solve by Graphing
Solve by Substitution
Convert
Slope and y-intercept
100
How many solutions does this system have?
One Solution
100
What is the solution?
(-1,1)
100
Solve the systems of equations using substitution:
x = 2
y = -5x - 3
(2, -13)
100
Convert to slope-intercept form.
2x + y = -3
y = -2x - 3
100
What is the slope of the line represented by the equation y = 3x + 5?
3
200
How many solutions does this system have?
y = 3x - 5
y = 3x + 7
No Solution
200
How many solutions are there?
No Solutions
200
Solve the systems of equations using substitution:
y = 5
y = 2x - 7
(6, 5)
200
Convert to slope-intercept form.
-4x + y = 6
y = 4x + 6
200
In the equation y = -4x + 10, what is the y-intercept?
10
300
How many solutions does this system have?
y = -5/3x + 3
y = 1/3x - 3
One Solution
300
Solve Using Graphing:
y = 5/3x + 2
y = -3
300
Solve the systems of equations using substitution:
y = 3x
y = 2x + 1
(1, 3)
300
Convert to slope-intercept form.
6x + 3y = 9
y = -2x + 3
300
Find the y-intercept of the line represented by y = 0.5x - 7.
-7
400
How many solutions does this system have?
y = 2x - 9
4x - 2y = 18
Infinitely Many Solutions
400
How many solutions are there?
Infinitely Many Solutions
400
Solve the systems of equations using substitution:
y = -2x
y = 3x - 15
(3, -6)
400
Convert to slope-intercept form.
-4x + 2y = -8
y = 2x - 4
400
Identify the y-intercept in the equation 2y = 6x + 12.
-2
500
How many solutions does this system have?
18x - 4y = 12
-9x + 2y = -4
No Solution
500
Solve the systems of linear equations by graphing:
y=1/4x-2
y=3/2x+3
500
Solve the systems of equations using substitution:
y = -3x
4x + 2y = 18
(-9, 27)
500
Convert to slope-intercept form.
-12x - 4y = -8
y = -3x + 2
500
What is the slope of the line given by the equation 2y = 6x - 4?
3