Linear Equations
Convert this standard form problem into slope-intercept form:
7x - 7y = 7
y = x - 1
What is different between a linear inequality and a linear equation?
the sign (<,>......)
Solve by graphing
y = x - 8
y = -2x + 1
(3,-5)
If a system of linear equations has one solution, what does that mean about the two lines?
They intersect
Put into slope-intercept form
3x - y = 6
y = 3x - 6
Determine which ordered pairs are solutions to the linear inequality:
x - y > 30
(35, 30), (-30, -60), (0,0)
None of them!
Use the substitution Method to solve this system
2x + y = -2
5x + 3y = -8
(2,-6)
If a system of linear equations has no solution, what does this mean about the two lines?
Parallel lines
Convert into slope intercept form:
8x + 10y = 10
y = -4/5 x + 1
What sign tells you to shade above the line?
What Sign tells you to shade below the line?
What sign tells you to use a dashed line?
What sign tells you to use a solid line?
>,>= to shade above
<,<= to shade below
<,> dashed line
<=,>= solid line
Solve using the elimination method:
x - y = 10
3x + y = 18
(7,-3)
If a system of linear equations has infinitely many solutions, what does this mean about the two lines?
The same
Graph on a piece of paper
y = 2/5 x + 2
Can't include the graph....
Graph
x - y > 8
y < x - 8
Solve the following system of equations using the elimination method:
3x + y = 2
6x + 2y = 4
infinite solutions
What is a standard form equation?
Ax + By = C
Graph
9x + 12y = 12
y = -3/4 x + 1
graph
x > 7
Uhuh
Graph the following system of inequalities
x < -4
3x + 2y <= -2
Yep
For the elimination method, when do you add the equations and when do you subtract?
Add if opposite signs
Subtract if they are the same sign