Answer:
y = (-3/7)x + 9 ( -1.5x − 3.5y = -31.5)
Explanation:
Normally, there's a list of possible answers associated to this question, and the answer is usually in the form of -1.5x − 3.5y = -31.5 (equivalent to y = (-3/7)x + 9)
You forgot to provide the reference image which is essential to answer the question, but I managed to find it... and attach it to my answer.
In the given equation for AB, if we place the y term on the left and x term on the right, we see the slope of that line is 7/3 (y = (7x - 21.5)/3 ==> 7/3x).
We see on the image that the line PQ is perpendicular to AB. That means that its slope is -3/7.
So, we have a slope of -3/7 and we know it passes through point P (7,6), let's see if we can find the missing term.
y = (-3/7) x + b
6 = (-3/7) 7 + b
6 = -3 + b
b = 9
So the equation of the line forming the street PQ is y = (-3/7)x + 9