Graphing On The Coordinate Plane
How many quadrants are there?
4
If a line is proportional it....
"...it's a straight line that goes through the origin."
What are the different names for slope?
Constant of Proportionality, Unit Rate
It's represented by the variable b.
What are the 2 types of linear equations that we know?
y=mx and y=mx+b
What is the center of the coordinate plane called?
The origin
Proportional relationships can be shown by....
Graphs, tables, and equations
What are the different types of slopes?
Positive, Negative, Zero, Undefined
Where do you find the y-intercept on a coordinate plane?
On the y-axis.
What do you use to plot more points on a graph other than the y-intercept?
The slope = rise/run.
What kind of points are in the 2nd quadrant?
negative, positive
How do you know if a table of x- and y- values are proportional?
By diving the y-values by the x-values and they all equal the same.
How do you find the slope of a line from two points?
y2-y1/x2-x1
What it the general form of the y-intercept in point form?
(0,b)
Whats the first step to graphing a linear equation?
Making sure it's in y=mx+b form first.
The y-coordinate tell you which directions you can go in when plotting a point?
Up or down
What's the y-intercept of a linear equation in the form of y=mx?
0
How do you find the slope of a line from an equation in the form of y=mx+b?
It's the coefficient of x in y=mx+b.
The x-coordinate of the y-intercept is always 0.
Each point on the graph of an equation is....
"...a solution to the linear equation."
A negative x-coordinate tell you which direction to go in when plotting a point?
To the left.
How can you tell if an equation is proportional?
If it's in the form of y=mx where m is the slope or constant of proportionality.
How do you find the slope of a line from a graph?
Use rise/run that gets you from one point to the other.
How do you find the y-intercept in an equation?
Plug in 0 for x and solve for y.
You can use the slope-intercept form to....
"....write and graph an equation in a non-vertical line."