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A line has a slope of 1/6 and includes the points (10,z) and ( – 2, – 10). What is the value of z?

User Alex Shkop
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1 Answer

2 votes

Answer: -8

Explanation:

The line has a slope of 1/6, which means the x coordinate increases by 6 for every 1 the y coordinate increases.

In these two points, the x coordinate is decreasing by 12.

We need to divide that by 6, because the y increases 1 for every 6 the x increases.

12/6 = 2, which means that between the x coordinates of 10 and -2, the y coordinate has decreased by two.

We need to add 2 to -10 to get our answer, which is -8.

User Travis Liew
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