Slope Intercept
Convert to slope intercept form
x - 2y = 4
what is y = 1/2x - 2
Different slope and y- intercept lines are:
1. independent
2. dependent
3. inconsistent
What is 1. independent
Solve by substitution
x = -2
x + y = 5
(-2, 7)
Identify the element based on Matrix
a23
4 -9 17 1
0 5 8 6
-3 -2 10 0
what is 8
Solve by using elimination
x - y = -6
-2x + 3y = 16
What is (-2, 4)
Convert to slope intercept form
3x + y = 5
What is y = -3x + 5
Same slope and y-intercept lines are:
1. dependent
2. inconsistent
3. independent
What is 1. dependent
solve using substitution
y = 2x - 3
-2x + 3y = 7
What is (4,5)
Identify the element based on Matrix
a13
4 -9 17 1
0 5 8 6
-3 -2 10 0
what is 17
Solve by using elimination
1/3x - 2/3y = 3
1/3x - 1/2y = 8/3
What is (5, -2)
Convert to slope intercept form
12x + 3y = 24
What is y = -4x + 8
Same slope with different y-intercept lines are:
1. independent
2. dependent
3. inconsistent
What is 3. inconsistent
Substitution involves ______ one of the equations and then substituting new equation into the other equations.
what is isolating
Identify the element based on Matrix
a24
4 -9 17 1
0 5 8 6
-3 -2 10 0
What is 6
Elimination involves pairing the equations to eliminate one _______ and then proceeding with solving the equation
what is variable
Convert to slope intercept form
4y - 2x = 6
How many solutions do inconsistent systems have
What is no solution
Solve by substitution
x + y + 2z = 3
2x + y + 3z = 7
-x -2y + z = 10
what is (1,-4,3)
Identify the element based on Matrix
a34
4 -9 17 1
0 5 8 6
-3 -2 10 0
what is 0
solve by using elimination
x - y + z = -1
x + y + 3z = -3
2x - y + 2z = 0
what is (4,2,-3)
Convert to slope intercept form
8y = 4x - 12
What is y = 1/2x - 3/2
How many solutions do consistent systems have
what is one solution
Solve by substitution
2x + 3y - 2z = -1
x + 5y = 9
4z - 5x = 4
What is (4,1,6)
Identify the element based on Matrix
a12
4 -9 17 1
0 5 8 6
-3 -2 10 0
what is 0
Solve by elimination
2x - y + z = 4
x + 3y - z = 11
4x + y - z = 14
What is (3,3,1)