The table that represents a linear function, having a slope value of 2 is: Table 4 (see image attached below)
Recall:
- A function that is linear has a dependent and independent variable, such that y = mx + b.
- The "m" represents the slope which is the same all through the points given.
- m = change in y / change in x
Thus, the fourth table has the following slope (m) that is the same across all points.
Using two pairs of points, (0, 1) and (1, 3):
Slope = 3 - 1/1 - 0 = 2/1
Slope (m) = 2
Any two pairs of points we use will give us the same slope (m) of 2.
- Table 1, 2 and 3 will give us different slopes across the points on each table, meaning they do not represent a linear function.
Therefore, the table that represents a linear function, having a slope value of 2 is: Table 4 (see image attached below).
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