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The slope of the line passing through point (-10, 9) and (-10, 18) is equal to undefined.
The slope of line passing through any two points (x₁, y₁) and (x₂, y₂) is expressed as
m = (y₂ - y₁)/(x₂ - x₁)
where m is the slope and (y₂ - y₁) and (x₂ - x₁) are difference between y and x coordinates respectively.
We have the points (-10, 9) and (-10, 18)
m = (18 - 9)/(-10 + 10)
m = 9/0
So, the slope is undefined.
Now, we have the points (4, 2) and (6, 7) so the slope will be
m = (7 - 2)/(6 - 4)
m = 5/2
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