find the slope of a line perpindicular to the graph of this equation: y=2x

I forgot how to do this..

To find the slope of a line perpendicular to another line, you need to determine the negative reciprocal of the slope of the given line.

In the equation y = 2x, the slope of the line is 2.

To find the negative reciprocal of 2, you flip the fraction and change the sign. The reciprocal of 2 is 1/2, and changing the sign gives you -1/2.

So, the slope of a line perpendicular to the graph of y = 2x is -1/2.