The table of values shows a linear relationship between `x` and `y`.
x:−7, −2, 3, 8
y:9,1 ,−7,−15
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).
-8/5
-5/8
8/5
5/8
To find the slope of the line represented by the table of values, we first need to calculate the change in y and the change in x between two points on the line.
Let's take the first two points (-7, 9) and (-2, 1):
Change in y: 1 - 9 = -8
Change in x: -2 - (-7) = -2 + 7 = 5
So, the slope between these two points is -8/5.
Now let's take the next two points (-2, 1) and (3, -7):
Change in y: -7 - 1 = -8
Change in x: 3 - (-2) = 3 + 2 = 5
So, the slope between these two points is -8/5 as well.
Since the slope is constant between all pairs of points, the slope of the line represented by the table of values is -8/5.
Therefore, the correct answer is -8/5.