<u>Note: this answer assumes the equation of the line can be put in slope-intercept form. </u>
Answer:

Step-by-step explanation:
1) First, find the slope of y + 7 = -2 (x - 6). We can see that it's already in point-slope form, or 
 format. Remember that the number in place of the 
 is the slope. Therefore, -2 is the slope of that equation. 
What we need is the slope that is perpendicular to that, though. So, find the opposite reciprocal of -2. To do this, change its sign, convert it into a fraction (
), and flip its numerators and denominators. Therefore, the perpendicular slope would be 
. 
2) Now that we have a slope and a point the line passes through, we can write an equation using the point-slope formula, 
. In order to write an equation, the 
, 
, and 
 have to be substitute for with real values. 
The 
 represents the slope. We already calculated that in the last step, so put 
 in place of the 
. The 
 and 
 represent the x and y values of a point the line passes through. We know that the line has to pass through (6, -3), so substitute 6 for 
 and -3 for 
: 

Therefore, (again, assuming that the line can be put in point-slope form) the answer is 
.