What is the slope of the linear function represented by the table? x | y -7 | 0 0 | 1 1 | 7
Mathematics · High School · Thu Feb 04 2021
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To find the slope of the linear function represented by this table, you need to use two points on the table to calculate the change in y over the change in x. This is often expressed as (Δy/Δx) or (rise/run).
We can choose any two points, but to simplify the calculations, we'll use the points (0, 1) and (1, 7).
Now, compute the differences: Δy = y2 - y1 = 7 - 1 = 6 Δx = x2 - x1 = 1 - 0 = 1
Now divide Δy by Δx to get the slope (m): m = Δy / Δx = 6 / 1 = 6
So, the slope of the linear function is 6.