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What linear function equation can be represented by the set of ordered pairs?

{(−4, −6), (0, −3), (4, 0), (12, 6)}



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2 Answers

4 votes

Answer:

f(x) = 3/4x - 3

Explanation:

i am unsure of why this is the answer, but i know it is correct because i took the test and it told me that was the answer. i wish i had an explanation for you; sorry!!

User Rahul Babu
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5.6k points
3 votes

Answer:

The equation of the line is y = 3/4x - 3

Step-by-step explanation:

To find the equation of the line, pick any two points and find the slope.

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

m = (6 - 0)/(12 - 4)

m = 6/8

m = 3/4

Now that we have the slope, we can use the slope and point-slope form to find the equation in slope intercept form.

y - y1 = m(x -x1)

y - 6 = 3/4(x - 12)

y - 6 = 3/4x - 9

y = 3/4x - 3

User VDV
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5.5k points