Question 513698
Write the answer in slope-intercept form.
(−8, 1),
y + 8x = -14
y = -8x -14 … slope = -8
The slope of a perpendicular line would be 1/8   … the negative reciprocal 
So the equation of a line perpendicular to y + 8x = -14 and passing thru (-8,1) would be:
(-8,1) … (x1,y1)
y-y1 = m(x-x1)
y – 1 = 1/8(x-(-8))
y-1=1/8(x+8)
y – 1 = 1/8x + 1
y = 1/8x + 2