Answer:
7 x - y = 48 is the required line equation.
Step-by-step explanation:
Here,the two given points are A(6,-6) and B(8,8).
Now, the slope of the line with points (x1,y1) and (x2,y2) is given as:

So, here the slope of the given line is 
or , m = 7
Now, by POINT SLOPE FORMULA:
The equation of a line with point (x0,y0) and slope m is given as:
(y- y0) = m (x -x0)
⇒ Here, the equation of line with (8,8) is y - 8 = 7 (x -8)
or, y - 8 = 7 x - 56
or, 7 x - y = 48 is the required line equation.