To find the slope, we can use the formula:
slope = (change in y) / (change in x)
Using the given data points:
For the first pair, (-4, 14) to (-2, 8), the change in y is 8 - 14 = -6, and the change in x is -2 - (-4) = 2. So, the slope for this pair is -6/2 = -3.
For the second pair, (-2, 8) to (3, -7), the change in y is -7 - 8 = -15, and the change in x is 3 - (-2) = 5. So, the slope for this pair is -15/5 = -3.
For the third pair, (3, -7) to (5, 13), the change in y is 13 - (-7) = 20, and the change in x is 5 - 3 = 2. So, the slope for this pair is 20/2 = 10.
Now, since the slopes for all the pairs are different, we need to determine which one is the best example of the overall slope. We can average the three slopes:
(-3 + (-3) + 10) / 3 = 4/3
So, the average slope is 4/3.
In the context where x represents the number of weeks and y represents the amount of money in your account, the slope of 4/3 means that for every increase of 1 in the number of weeks, the amount of money in your account increases by 4/3 units.
What is the slope?
x | f(x)
-4 14
-2 8
3 -7
5 13
What is the meaning of the slope in context if x is the number of weeks and y is the amount of money in your account?
1 answer