Unit 9 Flashcards
Name of Quadrants
QI, QII, QIII, QIV
Starts in upper right and goes counter clockwise
Names for The Grid
Coordinate Grid
Coordinate Plane
Cartesian Plane
Coordinate System
Quadrant with both positive values
QI
Quadrant with a negative x and positive y
QII
Quadrant with both negative values
QIII
Quadrant with a negative y and positive x value
QIV
Origin
the starting point of the Cartisian Plane, (0,0)
X axis
the horizontal line, step #1 to find the point
Y axis
the vertical line in the Cartesian Plane, step #2 for finding the point
Ordered Pair
(x, y) the pair of numbers that tells you the point on The Plane
Quadrant of (3, -2)
QIV
Quadrant of (-3, 2)
QII
First Way to Graph Coordinate Pairs
xy chart: 1. find the equation 2. find the x (or y) values 3. plug and chug the x (or y) values into the equation 4. use your answer as the other coordinate for the pair 5. graph and draw a line EX. y=2x x -2, -1, 0, 1, 2 y -4, -2, 0, 2, 4
Second Way to Graph Coordinate Pairs
x and y intersect: 1. plug in 0 for the opposite value you are solving for using the equation given 2. graph your answer 3. repeat steps 1 and 2 once 4. draw a line connecting the two EX. y=2x + 1 y = 1 x = 1
Where is the x intercept?
Anywhere on the x axis
Where is the y axis?
Anywhere on the y axis
Solution
The coordinate pairs
EX.
(2,3)(-4,5)(-2,-9)
Slope
the ratio of the rise to the run of a line
Zero Slope
a horizontal line
Undefined Slope
a vertical line
Formula for Slope
x2 - x1
Variable for Slope
m
Rise over Run or Run over Rise?
Rise over Run
Slope Intercept Form
y = mx + b
m=?
slope
b=?
y intercept
Linear Equations if given slope and y intercept
- identify values
- plug and chug into y=mx + b
- box answer
Linear Equations if given a line on a graph
- find the slope by i) doing rise over run ii) using y2-y1 over x2-x1
- find y intercept
- plug and chug values into y=mx + b
- box answer
Linear Equations if given 2 sets of ordered pairs
- find slope using y2-y1 over x2-x1
- find y intercept by plugging and chugging ALL values into y=mx + b
- plug and chug values into y=mx + b
Linear Equations if given an x/y table
- use 2 ordered pairs to calculate slope using y2-y1 over x2-x1
- calculate y intercept by plugging and chugging
- plug and chug values into y=mx + b
- box answer
Line of Fit
An estimate line that shows the rate of growth without connecting all the scatter plot points.
Making Predictions
VISUAL:
1. draw the line of fit all the way through
2. estimate
USING MATH:
1. plug in the x value for x into the linear equation
2. evaluate
3. box answer
