The table of values shows a linear relationship between x and y. x y What is the slope of the line represented by the table of values? (HINT: There are two videos below that show how to find slope).

Question

x -7, -2, 3, 8 y 9,1,-7,-15

Answer 1

To find the slope of the line represented by the table of values, we need to calculate the change in y divided by the change in x.

Using the values given in the table:
For the first pair of values: (-7, 9) and (-2, 1)
Change in y = 1 - 9 = -8
Change in x = -2 - (-7) = 5
Slope = (-8) / 5 = -1.6

For the second pair of values: (-2, 1) and (3, -7)
Change in y = -7 - 1 = -8
Change in x = 3 - (-2) = 5
Slope = (-8) / 5 = -1.6

For the third pair of values: (3, -7) and (8, -15)
Change in y = -15 - (-7) = -8
Change in x = 8 - 3 = 5
Slope = (-8) / 5 = -1.6

Therefore, the slope of the line represented by the table of values is -1.6.