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a. The slope between (-3, 0) and (0, -1) is: -1/3.
b. The slope between (1, -4) and (-7, 4) is: -1.
c. The relationship is not linear.
<h3>How to Calculate the Slope?</h3>We can find the slope of a relationship that is represented by a table of values by using two points from the table, then apply the formula below:
Slope (m) = change in y/change in x = .
Part A: Using two points from the table, (-3, 0) and (0, -1)
Slope (m) = change in y / change in x = (-1 - 0) / (0 - (-3))
Slope (m) = -1/3
Part B: Using another two points, say (1, -4) and (-7, 4)
Slope (m) = change in y / change in x = (4 - (-4)) / (-7 - 1)
Slope (m) = 8/-8
m = -1
Part C: The slopes from part A and part B are not the same or constant, this shows that the relationship between the points is not linear.
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