Question

What is the slope of the line perpendicular to `y=-3/14x+10`?

Answer 1

The slopes of two lines which are perpendicular to each other are negative-reciprocals of each other.

Explanation:

If a line has a slope of a/b, then any line perpendicular to that line will have a slope of -(b/a). In your question the slope of the given line was -3/14, therefore the slope of any perpendicular line to the given line must be -(-14/3), or simplified to 14/3.