Question

Find the slope of the line that passes through the points (3, -6) and (6, 12).

Answer 1

The solution to your problem is as follows:

Slope of a line is equal to change of y / change of x = (12 - (-6)) / (6 - 3) = 18/3 = 6.

Therefore, the slope of the line is 6.


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Answer 2

The slope of a line is simply a ratio of the change in y-value to the change in x-value
Change in y = y₂ - y₁
= 12 - (-6) = 18
Change in x = x₂ - x₁
= 6 - 3 = 3
Ratio of change in y to change in x = 18/3 = 6
The slope is 6