9514 1404 393
Answer:
y +6 = (-1/3)(x +6)
Step-by-step explanation:
Given a point and a slope, it is appropriate to use the point-slope form to represent the equation:
y -k = m(x -h) . . . . . line with slope m through point (h, k)
For your point and slope, the equation is ...
y -(-6) = -1/3(x -(-6))
y +6 = -1/3(x +6)
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Of course, this can be rearranged to whatever form you need.
y = -1/3x -8 . . . . slope-intercept form
x +3y = -24 . . . . standard form