Write an equation for a line that passes through the origin and is perpendicular to y=5x−2.

Answer 1

The slope of the line with equation y = 5x - 2 is 5. So, any line perpendicular to the given line has slope -1/5.

Equation of line with slope -1/5 and which passes through (0,0) is y - 0 = -(1/5)(x - 0).

So, y = -(1/5)x