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100
Graph the following equation: y = 4x + 0
What is: the graph should start at the origin (0 , 0) and rise up 4 and run 1 to get to each of the next points.
100
Here is an x and y table, is it linear? x 0 1 2 3 4 5 y 5 7 9 12 15 24
What is no, the "y" does not increase at a constant rate.
100
What is the slope and y-intercept of the following equation: y=-2x+4
What is slope: -2, y-int: 4
100
What is the rate of change (slope) of the following coordinates: (0,3)(7,12)
What is 9/7
100
What are the two things you need to know in order to write a linear equation?
What is slope and y-intercept
200
Graph the following equation: y = -3x +2
What is: the graph should start at 2 on the y-axis, and go down three and over(right) 1 in order to get to the next point(s).
200
Below is an x/y table. What is the rate of change (slope)? x 1 2 3 4 5 6 y 5 15 25 35 45 55
What is (25 - 15) / (3 - 2) = 10
200
What is the slope and y-intercept of the following equation: y=-6x - 72
What is the slope: -6, y-int: -72
200
What is the rate of change (slope) of the following coordinates: (4, 16) (2, 300)
What is 284 / -2 OR: -142
200
What is the slope-intercept form of a linear equation?
What is y = mx + b
300
Graph the following equation: y = -2x - 7
What is: the graph should start at -7 on the y-axis, and go down 2, right 1 to get to the next point(s).
300
Below is an x/y table. What is the rate of change (slope)? x 9 6 3 0 -3 -6 y 5 11 17 23 29 35
What is (17 - 11) / (3 - 6) = 6/-3 = -2
300
Write a linear equation with a slope of 16 and a y-intercept of 9
What is y = 16x + 9
300
Is the following pattern a linear equation: (0,4) (2,6) (4, 8) (6, 10)..... Explain why/why not.
What is Yes, increase by 2 each time.
300
Why do we call y = mx+b slope-intercept form?
What is because m is our slope and b is our y-intercept.
400
If a graph has a negative slope, which direction will the line go?
What is downward from left to right
400
Create an x/y table that is linear.
What is: answers may vary
400
Write an equation with the y-intercept at -80, and a slope of 42
What is y=42x-80
400
Is the rate of change the same, or different for the two sets of points listed: Set 1 -- (7,4) (0, 13) Set 2 -- (10, 11 ) (3, 20)
What is Yes: 9/-7
400
What is the process (think of at least 3 steps) you must go through in order to graph a linear function?
What is 1. graph the y-intercept, 2. graph the slope (rise over run) 3. connect your plotted points with a line
500
If a graph has a positive slope, which direction will the line go?
What is upward from left to right
500
Think of a linear function that could be represented in a real-world situation.
What is answers may vary. One example: I am reading a book, and each day I read 17 more pages than the previous day.
500
If you have a linear equation written as: 2x + y = 6 ... what would the slope and y-intercept be?
What is slope of -2, and y-intercept of 6
500
What pattern do you see below? Is it arithmetic, linear, or both? 9, 12, 15, 18, 21.....
What is arithmetic and linear...increases by 3 each time
500
In the equation y = mx + b, why do we call x the input, and y the output?
What is because x is substituted into the equation (gets put in) and y is the outcome (answer) after we have used mathematics to solve.