The house blueprint shows the bedroom is 4 in wide and its actual length is 12 yards wide. This means that every 1 inch on the blue print represents 3 yards on the actual building. The scale is the ratio of the length of a side on the blueprint to the length of a corresponding side on the actual. Therefore, the scale for the blueprint is 3: 1
The perpendicular line to y = -6x + 7 will have a slope that is the reciprocal of the slope of this line with the sign flipped to the opposite so if the slope is m = -6 for this, this the perpendicular line will have a slope of m = 1 / 6. Any line with the form y = (1/6)x + b will be perpendicular