Question

The slope of any line perpendicular to , where A(0, -3) and B(4, 9) are two points on the line, is m =

Answer 1

m = -1/3

Explanation:

The slope of the line can be calculated using the slope formula.

`m = (y_2-y_1)/(x_2-x_1) = (9--3)/(4-0) = (12)/(4) = 3`

Since this is the line with points AB, the slope of any line perpendicular to it will be -1/3. All perpendicular lines cross at a 90 degree angle and as such their slopes are the negative reciprocals of each other. This means 3 becomes -1/3.