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