Answer:
B. (top right) 6y - 5x = 18
Explanation:
Is the equation of the given line
y = -6/5 x - 7?
The x is missing.
If so, then the slope of the given line is -6/5.
A perpendicular line has a slope that is the negative reciprocal of -6/5, so we need a slope of 5/6.
A.
6x - 5y = 30
-5y = -6x + 30
y = 6/5 x - 6
Here the slope is 6/5, so this is not it.
B.
6y - 5x = 18
6y = 5x + 18
y = 5/6 x + 3
This is it.
C.
6x + 5y = 20 has negative slope, so it is not it.
D.
5x + 6y = 42 has negative slope, so it is not it.