To determine if a table represents a linear function with the same slope as y = 2 - 3x, we need to compare the slopes of both equations.
The equation y = 2 - 3x is in slope-intercept form (y = mx + b) and has a slope of -3.
If the table represents a linear function with the same slope, all the points in the table should have the same slope value.
For example, if we have the following table:
x | y
-1 | 5
0 | 2
1 | -1
2 | -4
To find the slope between the points (-1, 5) and (0, 2), we can use the formula:
slope = (y2 - y1) / (x2 - x1)
slope = (2 - 5) / (0 - (-1))
slope = -3 / 1
slope = -3
Since the slope between these two points is -3, which is the same as the slope of y = 2 - 3x, we can conclude that this table represents a linear function with the same slope.
tables represent a linear function with the same slope as y = 2 - 3x ?
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