Graphing Linear Equations
Graphing Linear Inequalities
System of Equations
System of Linear Inequalities
100
Identify the slope and the y-intercept.
y=4/3x-2
m = 4/3
b = -2
100
What kind of line does < (less than) or > (greater than) get? Why?
dotted/dashed; no equal sign
100
What is the solution?
(-4,10)
100
Where is the solution of a system of linear inequalities?
Where the two shaded areas overlap.
200
Is the slope positive or negative?
y=-3/5x+4
negative
200
Do we shade above or below the line? Why?
y≥2/3x+5
above; y is greater.
200
Solve the system using SUBSTITUTION.
y=2
3x-y=10
Write your solution as an ordered pair.
(4,2)
200
Is (-2,-3) a solution of the system? Why?
y<1/3x+1
y≥4/3x-2
Yes; in the overlap
300
Choose the correct graph of y=1/2x - 3.
B
300
Is (4,-3) a solution of 2x-3y<15? Why?
No; 17 is not less than 15.
300
Solve the system using SUBSTITUTION.
y=-3x+16
8x-2y=24
Write your solution as an ordered pair.
(4,4)
300
Is (-5,3) a solution of the system? Why?
y≤-1/3x-2
y≥-4/3x+1
No; not in overlap
400
Identify the slope and the y-intercept.
5x+3y=-9
m = -5/3
b = -3
400
Which of these ordered pairs IS A SOLUTION?
(0,-4), (3,-3), (2,-7), (4,-4), (-4,3)
(2,-7)
(4,-4)
400
Solve the system using ELIMINATION.
-2x+3y=-15
2x-5y=17
Write your solution as an ordered pair.
(6,-1)
400
Is (-4,5) a solution of the system?
y<-2x-3
y≥-1/3x+2
No; on dotted/dashed line
500
Choose the correct graph of 2x-3y=-12.
D
500
Choose the correct graph of 6x-5y>20.
D
500
Solve the system using ELIMINATION.
-10x-3y=2
5x+4y=-11
Write your solution as an ordered pair.
(1,-4)
500
Give a solution of the system.
y≤1/3x+3
y≥-5/3x-3
Answers may vary.