The slope of the line represented by the table is 2/5. This implies that for every unit increase in X-value, the Y-value increases by 2/5 units.
The provided table indicates a set of ordered pairs (X, Y) representing points on a line. To determine the slope of this line, we can utilize the formula:
Slope = (Y2 - Y1) / (X2 - X1)
This formula calculates the rise (change in Y-value) over the run (change in X-value) between any two points on the line. As the table presents multiple points, we have the flexibility to choose suitable pairs to simplify the calculation.
Consider the points (-3, 0) and (7, 4). Substituting these values into the formula, we get:
Slope = (4 - 0) / (7 - (-3)) = 4 / 10 = 2/5
Therefore, the slope of the line represented by the table is 2/5. This implies that for every unit increase in X-value, the Y-value increases by 2/5 units.