Is it a solution?
(-3, -4)
y = 2x + 2
y = x - 1
Yes
y = 2
3x + 2y = 10
(2, 2)
x + 3y = 5
2x -3y = -8
(-1, 2)
Which inequality symbols require a dotted line when graphing linear inequalities?
> or <
Solution to a system of linear equations
Point of intersection
Who is Oberon?
Ms. T's dog.
y = 2x + 4
y = 3x + 2
(2, 8)
Yes
x = -3y + 2
-x + 2y = 3
(-1, 1)
-5y + 8x = -18
5y + 2x = 58
(4, 10)
How is graphing a linear inequality in one variable different than graphing a linear inequality in two variables?
The solution set is an entire region within the coordinate plane instead of a portion of a number line.
The method of solving equations where you add or subtract equations to end up with one variable.
Elimination
Ms. T taught Cole Kmet when he was in middle school. What is his jersey number?
85
x = 3
y = 2x + 1
(7, 3)
No - It is (3, 7)
x = 2y -10
3x - y = 0
(2, 6)
3y - 5x = -26
-2y - 5x = -16
(4, -2)
How do you know where to shade when solving linear inequalities?
Test a point - if the math sentence is true, shade the area where the point exists. If it is false, shade in the other region.
How can you tell if a linear system has infinitely many solutions?
The equations are equivalent or solving the system provides a true statement with no variables.
What is Ms. T's favorite MLB team?
Cardinals
4x + 2y = 8
2x + y = 4
Infinite Solutions
Yes, they are equivalent equations.
2x – 3y = –2
y = -4x + 24
(5, 4)
3x−4y=8
18x−5y=10
(0, -2)
Describe the graph of
y ≤ x−2
(You must include 4 specific details)
Solid line with a y-intercept of -2 and slope of 1. Shading is below the line.
What types of lines create a system that has no solution?
Parallel
How many children does Ms. T have?
Two
y = 1/2 x + 2
y = 1/4 x + 4
(8, 6)
Yes
y = 5x + 13
-5x + y = 24
no solution
4x−9y = 2
12x−5y = -38
(-4, -2)
Describe the graph of y > (2/3)x + 4
Dotted line with slope of 2/3 and y intercept of 4.
Shaded above the line.
What is the solution set to a linear inequality?
A shaded region in the coordinate plane.
Where did Ms. T go to undergrad?
Marquette