Definitions
What is a linear relationship? Explain
A linear relationship is a pattern that follows through x and y values and when you graph it, it creates a straight line. The x and y values increase and decrease by the same number.
Hannah's flip-flop fell into the lake and is sinking 5 feet every minute. What is her slope of the line?
-5 or -5/1
x ll 0 , 2 , 4 , 8 y ll 5 , 3 , 1 , ?
Create a graph from the table
You are correct if your graph follows the equation: y=-1x+5 (And is a negative line)
What does a flat line look like? Show with your arms
It should look something like this ---------- (Your arm should be horizontal)
Is this linear?
y= 3/2x +1
Correct answer= YES!!
What is a y and x intercept?
Where the line crosses on the y or x axis
Charlie built a sand castle which is 1 foot tall. Now the waves are coming in. Every minute, the castle sinks 2 inches. How long until the castle has completely sunk?
The answer is 6 minutes
Create an equation from a graph that has these points on it... (2, -3) , (6, 5)
Your equation should be: y=2x-5 (I think)
A line that begins at the top left and exits the graph at the bottom right. What kind of line is this?
A negative line
y + x = 2/9
NOOO!
Y=mx+b
What does everything stand for? (please explain what y, m, x, and b represent.
"M" stands for slope
"b" stands for the y-intercept
"y" stands for the value of the y
"x stands for the value of x
Martha is staying at a very fancy hotel. She accidentally left the sink on and now her bathroom is flooding with the water rising at 2 in. per minute. Create a table using this information.
You are correct if your table looks like this:
x 1 2 3 4 5
y 2 4 6 8 10
Create a graph from this equation.
y=1/2+2
You're correct if your line is positive, has a slope of 1/2 and the y-intercept is 2.
This line begins at the top and doesn't have a changing x value. What kind of line is this?
An undefined slope
NOOO!!
What is a non-linear relationship?
A non-linear relationship is when there is no consistent rate of change or pattern following through with the x and y values. (Not a straight line)
Kyle is selling cookies. He charges $2 per cookies. Every 1 1/2 he sells 6 cookies. How much money does he have after 3 hours?
Kyle has $24 after 3 hours.
Create an equation from this table.
x l y
1 l -3
2 l 2
3 l 7
y=5/1x-8
What does a positive line look like? Show with you arm.
Your arm should have your elbow is the air and look like this /
(3,8) (5,4) These are the points on a graph, are they linear?
YES! It is linear. You are correct if the slope is 2 or 2/1.
What does the symbol Δ mean and what is it called?
It means change and is called a delta
John is running a lemonade stand and he starts with $5. Every hour he gets $10. Create a graph to show the money he is making. (Make sure to find the y-intercept and slope).
You are correct if the line on your graph is positive and has a y-intercept of 5 and your slope is 2.
You got a BONUS!! You have to solve 2 problems!!
Create a table from this equation: y=2x+3
Create a table from a graph that has these 2 points on it: (3,8) , (4,6)
Table 1: x 1 2 3 4 5
y 5 7 9 11 13
Table 2: x 1 2 3 4 5
y 12 10 8 6 4
What kind of line doesn't have any change in y value, while the x value is always changing?
A flat line which has a slope of 0
Is this linear?
(1,9) (3,14)
YESSS!