The Coordinate Plane
Give an example of coordinates in the 4th Quadrant.
(+,-)
How many kinds of slopes can you graph?
4
How do you know if a graph is proportional?
The graph of the line goes through the origin
What variable represents the slope?
m
What does the b represent in the equation?
the y intercept
What's are the names of the axis's that make up the coordinate plane?
x axis, y axis
What are other terms you can call your x values in a table?
Independent variable
Domain
Input
How do you know if the values in a table is proportional?
If the y values divided by the x values in the table are equal to the same number.
What other names can you call the slope?
Constant of proportionality or unit rate
How do you plot the y intercept from the equation
y = mx + b
The b becomes the point (0,b) where the b is the y coordinate in a point.
What is the center of the coordinate plane called?
The origin.
How do you plot points on a graph?
Start at the origin, use your x axis for the x value and y axis for the y value
How do you know if an equation is proportional?
when the equation is in the form of y=mx and the m is the constant of proportionality
Finish the sentence, "the slope is also known as the....."
rise/run
y=mx+b is called what?
slope-intercept form
What directions do you go in for a the x-coordinate?
Left or right
Can you find an equation for a graph that is not proportional?
No
To find constant of proportionality, what do you do?
Divide your y values by your x values and simplify to see if they're all the same.
What is the equation to use to find slope
(y2-y1)/(x2-x1)
the slope is the _____________ of x, the number in front of x.
coefficient
What quadrant do you end up in if your x coordinate is negative and your y coordinate is positive?
II Quadrant
What is the connection between a table and a graph.
You create points from the values on the table to plot on the graph
if you have a proportional or linear relationship, you also have......
direct variation
Finish the sentence, "The slope tells you how to get from....."
One point to the next point
if y=8, what is the m in y=mx+b?
0