Answer:
- y +4 = (-1/6)(x -9)
- y = -1/6x -2.5
Step-by-step explanation:
The point-slope form of the equation for a line with slope m through point (h, k) is ...
y -k = m(x -h)
For your given values m=-1/6 and (h, k) = (9, -4), your equation is ...
y +4 = (-1/6)(x -9)
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Solving for y puts this in slope-intercept form.
y = -1/6x +9/6 -4 . . . . eliminate parentheses, subtract 4
y = -1/6x -2.5
