The table of values that represents a linear function is the table B since it can be written in the form Ax + By = C
For a table of values to be a linear form, the difference between the x and y values must be equal and must be able to be written in the form Ax + By = C
According to table B, we can use the following coordinate points from the table:
(-1, 4) and (2, 1)
Get the slope:
Slope m = (1-4)/2-(-2)
Slope m = -3/4
Get the y-intercept
Recall that y = mx + b
Using the coordinate (2, 1) and the slope m = -3/4
1 = -3/4(2) + b
1 = -3/2 + b
b = 1 + 3/2
b = 5/2
Get the required equation in the form y = mx + b
y = -3/2 x + 5/2
Multiply throgh by 2
2y = -3x + 5
2y + 3x = 5
3x + 2y = 5
Hence the table of values that represents a linear function is the table B since it can be written in the form Ax + By = C
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