Graphing Linear Equations
m stands for this in y=mx+b
What is m = Slope?
One form of an equation between two variables that gives a straight line when plotted on a graph,
Linear Equations: Slope-intercept form, standard form or point-slope form
Two or more equations that you deal with all together at once.
What are Systems of Linear Equations?
In y=mx+b, this is what the b stands for.
What is the y intercept?
What kind of slope would it be for a line that Rises From Left To Right?
What is Positive Slope?
Give an example of an equation when you have a dotted line and a solution region below the dotted line.
What is y < mx+b
This is the form of y = mx + b
What is Slope Intercept Form?
Describe the solution to a system of linear inequalities.
The solution is where the shaded regions overlap.
What type of boundary and which way would you shade y<2x-8?
Dotted boundary shaded below the line.
The number of points needed to create a linear graph.
What is 2 points?
Write an equation to show that x dimes and y quarters is equal to $3.00.
.10x + .25y = 3.00
What form is y-3 = 2(x+4)?
What is Point-Slope Form?
What is the solution to a system with two equations that graph to be the same line?
What is infinite solutions?
Graph x > -2 on the coordinate plane.
Vertical line through x=-2, dotted boundary, shaded to the right.
The manager of an electronics store projects that the store should equal $10,000 in revenue from TVs and DVD players every day in order to remain profitable. Its DVD players (x) sell for $300, and TVs (y) sell for $580. Write an equation for this statement.
300x + 580y = 10,000
What is the solution if you graph two lines that are parallel?
No solution
Solve: x = 10,
x -2y = 4
x=10 y=3
Graph y < 4 on the coordinate plane.
Horizontal line through y = 4, dotted boundary line, shaded below the line.
At a baseball game, James bought 5 hotdogs and 3 bags of chips for $14.82. Scott bought 7 hotdogs and 6 bags of chips for $22.89. Write the system of equations but DO NOT SOLVE.
5x+3y=14.82,
7x+6y=22.89
Make up an equation with a beginning point (y-intercept) of -5.
Sample:
y=2x - 5
What kind of system has infinitely many solutions?
They are the same lines.
Solve y> 2x -4 and y < 5.
Shading overlaps above first line and below second line with dotted boundaries.