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- Consider the function represented by this table of values.Xу6385324263 202 14Which function could have produced the values in the table?Ay = 6x + 2By = -6x + 2C) y = (x - 116y = -x - 44

Consider The Function Represented By This Table Of ValuesXу6385324263 202 14Which Function Could Have Produced The Values In The TableAy 6x 2By 6x 2C Y X 116y class=

Answer :

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First you need to find the slope using the formula

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

Choose two points from the table

P1 = (6, 38)

P2 = (5, 32)

Identify x1, y1, x2, y2

x1 = 6 y1 = 38 x2 = 5 y2 = 32

Substitute the values to find the slope

slope = m = (32 - 38) / (5 - 6)

= -6/-1

= 6

Find the equation of the line using the formula

y - y1 = m(x - x1)

x1 = 6 y1 = 38

Substitution

y - 38 = 6(x - 6)

Simplify

y - 38 = 6x - 36

Solve for y

y = 6x - 36 + 38

y = 6x + 2

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