Find the equation of the line given the slope m = - 1 6 and one point ( 12 , - 8 ) .

Answer 1

y = -16x + b

-8 = -16(12) + b

-8 = -192 + b

b = -8 + 192 = 184

y = -16x + 184 is the line with slope -16 through the point (12, -8)

BUT maybe you meant to write slope = -1/6 (sometimes the "/" doesn't show up for some reason, and a space shows up, as between that 1 and 6 instead)

then

y =-x/6 + b

-8 = -12/6 + b

b = -8 +2 = -6

y = -x/6 -6 is the line with slope -1/6 through the point (12, -8)