Question

Using the slope intercept formula, we can see the slope of line p is ¼. Since line k is perpendicular to line p it must have a slope that is the negative reciprocal.

Answer 1

The slope of line k is - 4 .

Explanation:

The slope of given line p is 1/4

Let the slope of line k which is perpendicular to is m.

When the two line are perpendicular to each other, the product of the slopes is always negative 1.

So, the slope of line k is given by

`m=- (1)/((1)/(4))\\\\m = - 4`