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Choose the equation represented by the table of values.y-2 -9-1-51372O A. y = x-7O B. y= .5x - 8) C. y = 2x + 1D. y = 3x + 1E. y = 4x - 1

Choose The Equation Represented By The Table Of Valuesy2 9151372O A Y X7O B Y 5x 8 C Y 2x 1D Y 3x 1E Y 4x 1 class=

Sagot :

Consider that a general form of the equation of a line is given by:

y - yo = m(x - xo)

where m is the slope of the line.

In order to calculate the slope use the following formula:

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

where (x1,y1) and (x2,y2) are any pair of values of the table. Replace two pair of values for x and y from the given table into the formula for m:

m = (-5-(-9))/(-1-(-2))

m = (4)/(1)

m = 4

Next, replace a pair of values x and y from the table for xo and yo in the general formula, and then solve for y:

y - (-5) = 4(x - (-1))

y + 5 = 4(x + 1)

y + 5 = 4x + 4

y = 4x + 4 - 5

y = 4x - 1

Hence, the equation of the line that represents the values of the table is

y = 4x - 1

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