Graphing On The Coordinate Plane
Equations
Slope
Y-Intercept
Linear Equations
100
How many quadrants are there?
4
100
If a line is proportional it....
"...it's a straight line that goes through the origin."
100
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.
100
Where do you find the y-intercept on a coordinate plane?
On the y-axis.
100
What is the equation for linear equations?
y=mx+b
200
What is the center of the coordinate plane called?
The origin
200
How do you know if a table of x- and y- values are proportional? (not graphing or backing up the table)
By dividing the y-values by the x-values and they all equal the same (same to the rate of change)
200
What is the slope?
-1/3
200
What is the y-intercept?
b = 5
200
Each point on the graph of an equation is....
"...a solution to the linear equation."
300
What kind of points are in the 2nd quadrant?
negative, positive
300
What is the slope and the y-intercept given
y=-2/3x-7
?
m = -2/3
b=(0,-7)
300
What is the slope?
What is the equation of this linear function?
m = 4
300
What it the general form of the y-intercept in an ordered pair?
(0,b)
300
What are the 2 ways to graph a line?
Short cut: graph the y-intercept then slope
Make a t-chart
400
The y-coordinate tell you which directions you can go in when plotting a point?
Up or down
400
Write the equation
y=4x+6
400
Write a linear equation to describe the table.
Interpret the slope and the y-intercept
y = -5/3x + 10
The temperature drops 5 degrees every 3 hours.
The temperature started at 10 degrees.
400
What is the y-intercept for a nonproportional linear equation?
Any number [ordered pair (0,b)] except 0
400
An online clothing company sells custom sweatshirts. The company charges $6.50 for each sweatshirt and a flat fee of $3.99 for shipping. What linear equation represents this situation?
The linear equation is y = 6.5x + 3.99.
500
A negative x-coordinate tell you which direction to go in when plotting a point?
To the left.
500
Write the equation for both pandas
Which linear function has a greater initial value? What is the initial value for each panda?
Mochi: y=4x+1
Kappa: y=3x+2
500
What's the slope formula? Solve (-2,9) & (3, 5)
y2-y1/x2-x1
m = -4/5
500
What is the y-intercept given y=2x+b and the ordered pair (14, 10)
b = -18
500
Does this table represent a linear function? Explain.
No, it's a non-linear function!