Question

Two perpendicular lines intersect at the origin. If the slope of the first line is .5, what is the equation of the second line?. .

Answer 1

The origin is at the point (0,0). Therefore, the y-intercept will be 0. For two points to be perpendicular, the slopes must be opposite reciprocals of each other. .5 can be seen as 1/2, so the reciprocal is 2, and it is positive, making that 2 negative. Your equation would be y = -2x.