Find the Change
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The table below shows two coordinate pairs (x, y) that satisfy the equation y=mx+b for some numbers m and b.
x y 2 y_1 5 y_2 -
If m = 7, determine possible values for y_1 and y_2. Explain your choices.
Find another pair of y-values that could work for m = 7. Explain why they would work. How do these y-values compare to the first pair you found for m = 7?
Use the same x-values in the table and find possible values for y_1 and y_2 if m=3. Explain your choices.
Find another pair of y-values that could work for m = 3. Explain why they would work. How do these y-values compare to the first pair you found for m = 3?
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Each of the three tables below shows two coordinate pairs (x, y) that satisfy the equation y=mx+b for some numbers m and b. If m = 3 in each case, find possible values for y_1 and y_2 for each pair of x-values given.
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x y 4 y_1 9 y_2 -
x y 2 y_1 13 y_2 -
x y -1 y_1 14 y_2 -
Suppose we take all six x-values from the three tables above. Can you find six corresponding y-values so that all the coordinate pairs satisfy the same equation if m=3? Fill out the table below and explain how you know they will all work with the same equation.
x y 4 9 2 13 -1 14
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