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guapka [62]
3 years ago
5

If

Mathematics
1 answer:
alexira [117]3 years ago
8 0

Answer:

f(x) = -1/2x + 1

Step-by-step explanation:

Remember that f(x) = y

f(-2) = 2   tells you that when x = -2,  y = 2 ;  So you have point (-2, 2)

f(2) = 0    tells you that when x = 2, y = 0 ;  So you have point (2, 0)

Now use the two points to find the slope:  Slope = (change in y)/(change in x)

So slope = (0-2)/(2-(-2) = -2/4 = -1/2

Next find "b" using the slope and one  point and solve for "b"

y = mx + b             slope = -1/2     point (-2, 2)

2 = -1/2(-2) + b

2 = 1 + b

1 = b

Last thing to do: write the equation using slope = -1/2 and b = 1 into y = mx + b

y = -1/2x + 1

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