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The slope of the line that passes through the points (-6,w) and (10,4) is 1/8 what is the value of w?

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Explanation:

the slope is the ratio (y coordinate change / x coordinate change) when going from one point on the line to another.

we see

x changes by +16 (from -6 to 10). as per 10 - -6 = 16.

y changes by 4 - w.

the slope is 1/8.

1/8 = (4 - w)/16 | multiply both sides by 16

2 = 4 - w

w = 4 - 2 = 2

so, the point is (-6, 2).

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