Question

The slopes of perpendicular line segments are 1/3 and d/5. What is the value of d

Answer 1

If 2 lines (or line segments) are perpendicular, then the product of their slopes is equal to -1.

Thus, since the given line segments are perpendicular, we have:


`\displaystyle{ (1)/(3)\cdot (d)/(5)=-1`.

Multiplying both sides of the equation by 15, we get d=-15.


Answer: d=-15