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Slope
Equations
Linear/Inverse Equations
Tables
Graphs
100
What is the formula for slope if you are given two points?
(y2-y1)/(x2-x1) = Slope
100
What is the form of a linear equation?
y=mx+b
100
An alien from outer space is born 5 inches tall and grows 11 inches per year for their entire life. If you were to graph the growth of this alien, what would be the slope and what would be the y-intercept?
The slope would be 11 and the y-intercept would be 5.
100
Is the table linear, inverse or neither? Explain. x y -1 4 0 6 2 8 3 10
No. The y increases by a constant amount, but the x does not.
100
Graph y = 2x
(N/A) -- Checked by Ms. Arden
200
What is the slope of (1,2) and (2,5)?
What is 3.
200
Solve the following equation: 2x + 3 = 13
What is x = 5
200
What does it mean for a relationship to be linear?
As the independent variable increases by a constant amount, the dependent variable increases or decreases by a constant amount.
200
Is this table linear? Explain. x y 2 1 3 1 4 1 5 1
Yes. As the x value increases by 1, the y value increases/decreases by 0.
200
Graph y = 3x + 2
(N/A) Check with Ms. Arden
300
Describe a graph with a slope of -4.
As the x increases by 1, the y decreases by 4.
300
Solve for x: 3(x + -9) = -15
what is x = 4
300
Is the following equation linear? Why or why not. y = 3x
Yes because the slope is 3 and the y-intercept is 0.
300
Find the slope of the table: x y 0 3 2 9 3 12 5 18
Slope is 3
300
Graph y = -4x + 1
N/A (Check with Ms. Arden)
400
Describe a graph with a slope of zero.
A horizontal line.
400
Solve for x: 5(x + 6) = 56
What is x = 26/5 or 5 1/5
400
What is the slope and y-intercept of the equation y = -2x -5
Slope: -2 Y-intercept: -5
400
Write an equation for this table: x y 2 24 3 16 4 12 8 6
y = 48/x
400
Graph y = 12/x
N/A (Check with Ms. Arden)
500
What is the slope of the points (2, 3) and (-2, 11)?
What is -2
500
Create an equation for the following story: Jack is trying to save money for an IPad. He has $150.00 in the bank and saves $25.00 per month. Let m be the number of months Jack is going to save and let t be the total amount of money he has.
What is t=25m + 150
500
Is the following equation linear? Why or why not? y = 3/x
No. It is inverse.
500
Write an equation from the table x y 1 -1 3 7 4 11 6 19
y = 4x -5
500
Describe the y-intercept on the graph of an inverse relationship. Explain your answer.
Does not exist. A y-intercept is the value of y when x is zero and you cannot divide by zero, so you can't have a y-intercept for an inverse relationship.