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Anvisha [2.4K]
3 years ago
9

Which table of ordered pairs represents a linear function? x y −6 26 0 3 6 26 12 101 x y −6 −3 0 3 6 1 12 2 x y −6 −3 0 3 6 9 6

3 x y −6 −3 0 2 6 7 12 12
Mathematics
2 answers:
Afina-wow [57]3 years ago
7 0

In each table, the x-values differ by 6. A linear function will also have a constant difference of y-values. Only the 4th table has that.

(x, y) = (-6, -3), (0, 2), (6, 7), (12, 12)

_____

An increase in x by 6 produces an increase in y by 5. The slope of this linear function is 5/6. In slope-intercept form, the equation is y = (5/6)x + 2.

zubka84 [21]3 years ago
6 0

Answer:

D:  

<u>x   y </u>

<u>−6 −3 </u>

<u>0   2 </u>

<u>6   7 </u>

<u>12   12 </u>

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y=12x+7~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\y=-6x+25~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)

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