Answer:
m = 2
Explanation:
We can find the slope using the slope formula, which is
m = (y2 - y1) / (x2 - x1), where
- m is the slope,
- (x1, y1) is one point in the table,
- and (x2, y2) is another point in the table.
We can allow (-9, -16) to be our (x1, y1) point and (-1, 0) to be our (x2, y2) point:
m = (0 - (-16) / (-1 - (-9))
m = (0 + 16) / (-1 + 9)
m = (16) / (8)
m = 2
Thus, the slope of the table is 2.
Alternate method: Alternatively, we can remember that the slope is simply change in y / change in x. Look at the point (-1, 0) and (0, 2). As the y points increase by 2, the x-points increase by 1 as. Thus, the change in y over the change in x is 2/1 and the slope is 2. The slope formula is more reliable as a table may not always have consecutive numbers.