Answer:
y + 3 = (6)(x - 6)
Step-by-step explanation:
The proper format for this equation y-1/6x+9 is y = (-1/6)x+9.
Any line perpendicular to y = (-1/6)x+9 has the slope which is the negative reciprocal of that of y = (-1/6)x+9, or the negative reciprocal of -1/6. That is +6.
Thus, the desired line, which passes through (6, -3), is found using the point-slope formula for the equation of a straight line:
y + 3 = (6)(x - 6)
