The equations of two functions are y=-21x+9 and y=24x+8 which function is changing more quickly? Explain

Given:

The equations are

To find:

Which function is changing more quickly.

Solution:

The slope intercept form of a line is

Where m is slope and b is y-intercept.

On comparing with the slope intercept form, we get

On comparing with the slope intercept form, we get

Since, , it means the absolute rate of change of second function is greater than the first function.

Therefore, the second function is changing more quickly.

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step-by-step explanation:

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