Question

How do you find the slope perpendicular to `2y = 10`?

Answer 1

The slope of any line perpendicular to `2y=10` is undefined

Explanation:

`2y=10` is a horizontal line; therefore its slope `(Delta y)/(Delta x) = 0`

Any line perpendicular to a horizontal line will be a vertical line;
for vertical line the value of `x` does not change so `Delta x = 0` and any attempt to calculate the slope resulting in trying to divide by `0`.