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Answer:
y -1 = 5/6(x +8)
Step-by-step explanation:
The point-slope equation of a line is ...
y -k = m(x -h) . . . . . line through point (h, k) with slope m
For point (-8, 1) and slope 5/6, the equation is ...
y -1 = 5/6(x +8)
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Additional comment
If you want a line with slope -3/4 through the same point, change 5/6 to -3/4:
y -1 = -3/4(x +8)