Question 655650
It seems that the point (6,7) lies on a perpendicular line to 8x +y = 4

Putting the equation into slope intercept form, we get y = -8x + 4

Since the line we are looking for is perpendicular, then it's slope is 1/8(negative reciprocal)

The new equation is y = 1/8x + b
Substitute (6,7) into this equation

7 = 1/8 (6) + b
7 = 3/4 + b
7 - 3/4 = (28-3)4 = 25/4

The equation is now y = 1/8x + 25/4