mendesarmy36910
mendesarmy36910 mendesarmy36910
  • 20-12-2020
  • Mathematics
contestada

Write a linear function f with the values f(-4) = 0 and f (4) = 2.​

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altavistard
altavistard altavistard
  • 02-01-2021

Answer:

y + (1/4)(x + 4)

Step-by-step explanation:

One point on the graph is (-4, 0); another is (4, 2).

The change in x from the first point to the second is 8; this is the 'run.'

The change in y is 2 (which is 2 - 0).  This is the 'rise.'

Thus, the slope of the line is m = rise / run = 2/8 = 1/4

Let's use the point-slope form of the equation of a straight line:

y  - k = m(x - h).  Substituting 0 for k and -4 for h, we get:

y - 0 = (1/4)(x + 4), or

y + (1/4)(x + 4)

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