What is the slope for the following set of data?
x 2 4 6 8
y 1 -2 -5 -8
Did you notice for each increase of 2 in the x's , there is a decrease of 3 in the y's
so quick way:
slope = -3/2
x-change: +2
y-change: -3
slope: -3/2
To find the slope of a set of data, we can use the formula:
slope = (change in y) / (change in x)
In this case, we have the following points:
(2, 1), (4, -2), (6, -5), (8, -8)
To calculate the change in y, subtract the initial y-coordinate from the final y-coordinate. Similarly, calculate the change in x by subtracting the initial x-coordinate from the final x-coordinate.
Looking at the data, we have:
Change in y = -8 - 1 = -9
Change in x = 8 - 2 = 6
Now, we can substitute these values into the slope formula:
slope = (-9) / 6
Simplifying, we have:
slope = -3/2
Therefore, the slope for the given set of data is -3/2.