Overview
Solving Systems: Graphing
Solving Systems: Substitution
Solve the equation
Parallel and Perpendicular lines
100
What shape will every linear equation create when graphed ?
Straight Line
100
When should you use the graphing method to solve a system of linear equations?
when questions are written in slope-intercept form ...
aka when the equations are easy to graph.
100
When should you use the substitution method to solve a system of linear equations?
when you already know the value of one variable ( ex: y=6)
100
-12 = 2x +x
-4
100
Properties of to systems being parallel?
Same Slope
Different y-int
No solutions
200
At least how many equations will be in a system of linear equations?
At least 2 equations will be in a system of linear equations.
200
What is the solution to the system of linear equations?
(0,2)
200
What is the solution (x,y) to the system of linear equations?
5x+2=y
x=2
(2,12)
200
-32 - 8r = 2r - 8(r + 3)
r = -4
200
Properties of being Perpendicular?
Slope is opposite reciprocal
One Solution
Different y- int
300
The ___________________ to a system of linear equations is the ____________ where the equations have values for x and y that make both equations true.
solution, point
300
What is the solution to the system of linear equations?
(-1,4)
300
What is the solution to the system?
y=7x-10
y=-3
(1,-3)
300
-14 + 8v = -6 + 2(-1 + 7v)
v = -1
300
Eq1 ( y=-3/4 + 5 )
What is the slope of Eq2 if the two systems are parallel
-3/4
400
How many solutions can a system of linear equations have?
0, 1 or all
400
What is the solution to the system of linear equations?
(2,9)
400
What is the solution to the system?
2x+5y=19
y=3x-3
(2, 3)
400
-10(-b - 3) = 6(-11 + b)
b = -24
400
Eq1 ( y=-3/4 + 5 )
What is the slope of Eq2 if the two systems are perpendicular ?
4/3
500
Fill in the blanks:
The solution will be the point
( , ) where the two lines
________________
(x,y), intersect
500
What is the solution to the system of linear equations?
No solutions
500
What is the solution to the system?
5x-6y=-3
y=3x+7
(-3,-2)
500
7a + 5a = 4(2 + 9a) - 2(a + 4)
a = 0
500
Eq1 ( y=-5 )
What will Eq2 be if it is parallel to Eq1 and it passes through (3,0)
Eq1 ( y=0)