x: -4, -2,3,5
f(x): 14,8, -7, -13
What is the slope?
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?
To find the slope, we can use the formula:
slope = (Change in y) / (Change in x)
In this case, we can choose any two points to calculate the slope. Let's use the points (-2, 8) and (3, -7):
Change in x = 3 - (-2) = 5
Change in y = -7 - 8 = -15
slope = (-15) / 5 = -3
Therefore, the slope is -3.
In the context of x representing the number of weeks and y representing the amount of money in the account, the slope represents the rate of change of money over time. Specifically, for every 1-week increase, the amount of money in the account decreases by $3.