Two perpendicular lines intersect at the origin. if the slope of the first line is 3, what is the equation of the second line? .

The general equation of a line is expressed as:

y = mx + b where m is the slope of the line and b is the y-intercept.

If the lines in this problem intersect at the origin, then the equation reduce to:

y = mx

For the first line, it was stated that the slope is 3 then the equation for the first line is y = 3x. If the second line is perpendicular with the first line, then the slope will be the negative of the slope of the first line. Therefore , the equation for the second line is y= -3x.