The line m has a slope of a/b, where a and b are integers. What is the slope of a line that is perpendicular to line m?

The slope of the perpendicular line is - b/a

Step-by-step explanation:

Perpendicular lines have slopes that multiply together to equal - 1

Let the slope of the perpendicular line be p

a/b * p = - 1

Multiply each side by b/a so we can isolate p

a/b * b/a * p = - 1 * b/a

p = - b/a

The slope of the perpendicular line is - b/a