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Answer:
y +2 = -3/4(x -4)
Explanation:
A line parallel to ...
ax +by = c
through point (h, k) can have the equation ...
a(x -h) +b(y -k) = 0
It is pretty simple to put this into point-slope form:
b(y -k) = -a(x -h) . . . . . subtract the x-term
y -k = (-a/b)(x -h) . . . . divide by b
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We have ...
a = -3, b = -4, (h, k) = (4, -2)
so the point-slope form equation is ...
y -(-2) = (-(-3)/(-4))(x -4)
y +2 = -3/4(x -4)