The equation of line k is y=1/5x-1/8. what equation of the line that is perpendicular to line k and passes through (0,0)

The slope of a perpendicular line is the negative reciprocal of the normal slope.  For example, 3/7 would become -7/3.  

Because the slope of this line is 1/5, the slope of a line that is perpendicular to it is -5.

Now, to find the equation of the line, we need to find the y intercept.  Since the line passes through (0,0), that is the y intercept.  Now, we can make the equation of the line.

y = -5x 

At a constant it will take one hour to travel 32 mi.at that speed it will take 1/2 hr to travel the remaining 16 mi.it will take 1+1/2 hr to travel the 48mi @ 32mph.so 1 hr = 60 min& 1/2 hr = 30 min1+1/2 hr = 90 min.there are 60s in each 90 × 60 = 3600 seconds.the real question seriously is he why are they driving so slow? ! lol.