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Answer:
y -10 = 1/8(x +8)
Step-by-step explanation:
The point-slope form of the equation of a line with slope m through point (h, k) is ...
y -k = m(x -h)
You have m = 1/8, and (h, k) = (-8, 10).
Putting those numbers in the form gives ...
y -10 = 1/8(x -(-8))
You can simplify the double minus sign so you have ...
y -10 = 1/8(x +8)
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Additional comment
A lot of math is about matching patterns and making substitutions. This is a good example of that.
