Answer:I think the answer is y = 1/x + 35? But, don't hold me to it.Step-by-step explanation:First, find the negative reciprocal of the slope.Based on the equation, y = -x - 6, the negative reciprocal of the slope would be 1/x.So, now we use slope-intercept form( y = mx + b):1. Substitute in the new slope.y = 1/x + b2. Now, substitute in the coordinate, (-9, -4).-4 = 1/-9 + b3. Multiply both sides by -9.36 = 1 + b4. Subtract 1 from both sides.35 = b.Now we have the value of b to put into the equation:y = 1/x + 35