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TEA [102]
3 years ago
15

Which line has the greatest rate of change? A line passing through (-1, 4) and (1, 7). A line passing through (1, 3) and (5, 11)

. A line passing through (1, 1) and (4, -3). A line passing through (0, 6) and (12, 9). please help!!
Mathematics
1 answer:
Juliette [100K]3 years ago
6 0

Answer:

A line passing through (1, 3) and (5, 11)

Rate of change = 2

Step-by-step explanation:

  • <em>Rate of change = change in y / change in x</em>
  • <em>r = Δy/Δx</em>

<u>Let's get the rate of change for each line:</u>

A line passing through (-1, 4) and (1, 7).

  • r = (7 - 4) / (1 -(-1)) = 3/2

A line passing through (1, 3) and (5, 11).

  • r =  (11 - 3) / (5 - 1) = 8/4 = 2

A line passing through (1, 1) and (4, -3).

  • r = (- 3 - 1) / (4 - 1) = -4/3

A line passing through (0, 6) and (12, 9)

  • r = (9 - 6) / (12 - 0) = 3/12 = 1/4

<u>Comparing the values of r, we can see the greatest one is</u> 2 for the line passing through (1, 3) and (5, 11)

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