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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 012 To The Point 166 class=

Sagot :

wegnerkolmp2741o

Answer:

-3/8

Step-by-step explanation:

The rate of change is the same as the slope

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

   = ( 6-12)/(16-0)

   = -6/16

   = -3/8

NoblePenguin

Answer:

The answer is -3/8.

Step-by-step explanation:

Hey there!

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

[tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

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.

[tex]\displaystyle m = \frac{6 - 12}{16-0}[/tex]

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

[tex]\displaystyle m = \frac{-6}{16}[/tex]

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

[tex]\displaystyle m = -\frac{3}{8}[/tex]

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

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