Graphing
y= 2x + 2
y = x - 1
(-3, -4)
y=2
3x + 2y = 10
(2, 2)
x + 3y = 5
2x - 3y = -8
How many equations, or lines are in a system of equations?
2 or more
What month does Ms. Truong and Mrs. Praisewater have a birthday in?
December
y = 2x + 4
y = 3x + 2
(2, 8)
y = 6x - 11
-2 - 3y = -7
(2, 1)
-5y + 8x = -18
5y + 2x = 58
(4, 10)
What should your solution be written as when solving systems of Linear Equations?
an ordered pair
(x,y)
Find the slope of (3, 5) and (11, -6)
-11/8
x=3
y= 2x + 1
(3, 7)
y = -3x + 5
5x - 4y = -3
(1, 2)
3y - 5x = -26
-2y - 5x = -16
(4, -2)
What is the difference between an intercept and an intersection?
intercept is where the line crosses the x or y axis
intersection is where two lines cross and this is where you will find your solution
What are the names for these formulas?
y=mx+b
Ax + By = C
y=mx+b is slope-intercept form
Ax+By=C is standard form
4x + 2y = 8
2x + y = 4
No Solution
2x - 3y = -2
4x + y = 24
(5, 4)
x - y = -3
5x + 3y = 1
(-1, 2)
How can you tell if a linear system has infinitely many solutions?
The equations are the same, the lines are identical, and when you solve the system, it provides a true statement with no variables
Solve.
5x + 12 = -43
-11
y= 1/2x + 2
y = 1/4x + 4
(8, 6)
-5x + y = -2
-3x + 6y = -12
(0, -2)
3x - 4y = 8
18x - 5y = 10
(0, -2)
How do I get no solution in a system of Linear Equations?
The equations will have the same slope
In slope-intercept form, the equation of a line that has a slope of 4 and passes through the point (3, 10).
y=4x -2