The lines x=0, y=2x-5, and y=mx+9 form a right triangle. find the two possible values of m

Answer: - 1/2, 0

Step-by-step explanation:

x=0, y=2x-5 and y=mx+9 form a right angle. So, y=mx+9 is either perpendicular to x=0 or y=2x-5 because the angle between x=0 and y=2x-5 is not 90 degrees. The product of slopes of perpendicular lines equals to - 1.

Thus, m=-1/2 if it is perpendicular to y=2x-5. And y=c, for some constant if it is perpendicular to x=0. So y=0x+9 fits the bill. (m=0, in this case)