Question 707804
The slope of y=1/8x+5 is 1/8


The perpendicular slope is -8/1 or just -8. You flip the fraction and the sign of 1/8 to get -8.


So m = -8


We want this perpendicular line to go through (-1, -4), so x = -1 and y = -4


---------------------


y = mx + b


y = -8x + b ... plug in m = -8


-4 = -8(-1) + b ... plug in x = -1 and y = -4


-4 = 8 + b


-4 - 8 = b


-12 = b


b = -12


So the equation of the perpendicular line is y = -8x - 12