The slope of the relation is 6.
The formula for the slope of the line with given points (x₁, y₁) and (x₂, y₂) is given by
Here we have
x- values −2 −1 0 1 2
y- values −18 −12 −6 0 6
From the given table, the coordinates that can be extracted are
(-2, -18) (-1, -12) (0, -6) (1, 0) and (2, 6)
From the above coordinates Slope of the relation can calculate as given below
As we know Slope formula, m = (y₂-y₁)/(x₂-x₁)
Take pair of points from the table (-2, -18) (-1, -12)
The slope of the relation, m = (-12-(-18))/(- 1 -(-2))
= (-12+18)/(- 1 +2) = 6/1 = 6
Therefore,
The slope of the relation is 6
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