Write the equation for a line that is perpendicular to the line y=2x-3 and passes through the origin

Determine the slope

Since the equation is already given in slope-intercept form, we'd assume that the slope is the coefficient of x.

2 is the slope

To write the equation in perpendicular form, change the slope to opposite-reciprocal.

2 opposite-reciprocal is - 1/2

So, the equation would be y = - 1/2x - 3

Answer:

y = - 1/2x - 3