Question

There is $500 in Holly's bank account. She takes out $50 from her account each month but doesn't put money back in. What is the slope/rate? *

Answer 1

The rate of change or slope m = -50

Explanation:

The slope-intercept form of the line equation

`y = mx+b`

where

• m is the rate of change or slope

• b is the y-intercept

Given that there is $500 in Holly's bank account.

Thus, the y-intercept b = 500

It is stated that she takes out $50 from her account each month but doesn't put money back in.

It means the rate of change or slope is decreasing.

Thus, the rate of change or slope m = -50

EXTRA BONUS!

We can also determine the line equation by substituting m = -50 and b = 500 in the slope-intercept form

`y = mx+b`

y = -50x + 500

Here:

The slope m = -50

The y-intercept = 500