Answer:
9x +y = 12
Step-by-step explanation:
You want the standard form equation for the line with slope -9 through the point (2, -6).
Point-slope form
The point-slope form equation is a good place to start when given a point and a slope. That equation is ...
y -k = m(x -h) . . . . line with slope m through point (h, k)
y -(-6) = -9(x -2) . . . . line with slope -9 through point (2, -6)
Standard form
This can be rearranged to the desired form:
y +6 = -9x +18 . . . . . . eliminate parentheses
9x +y = 12 . . . . . . . . add 9x -6
