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Find the rate of change of the linear function from the point ​(0​,​12) to the point ​(​16,6​).

Find the rate of change of the linear function from the point ​(0​,​12) to the point-example-1

2 Answers

0 votes

Answer:

The answer is -3/8.

Explanation:

Hey there!

To find the rate of change, we can use the slope formula.


\displaystyle m = (y_2 - y_1)/(x_2 - x_1)

Our values for each are listed below:

  • x₁ = 0
  • x₂ = 16
  • y₁ = 12
  • y₂ = 6

Now, we need to do basic arithmetic to find the rate of change by substituting the known values for the coordinates into the slope formula.


\displaystyle m = (6 - 12)/(16-0)

Then, we can simplify by evaluating the numerator and the denominator separately:


\displaystyle m = (-6)/(16)

Finally, we can find the simplified version of this fraction:


\displaystyle m = -(3)/(8)

Therefore, the rate of change is -3/8.

User Pynt
by
7.5k points
6 votes

Answer:

-3/8

Explanation:

The rate of change is the same as the slope

m = ( y2-y1)/(x2-x1)

= ( 6-12)/(16-0)

= -6/16

= -3/8

User Olaf
by
8.5k points

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