Question

A line has the equation y = 3x + 4.

(a) This line has slope 3/1
(b) Any line parallel to this line has slope
(c) Any line perpendicular to this line has

Answer 1

b. 3/1 c. -1/3

Explanation:

When a line is parallel to another they don't intersect and instead go in the same direction. Therefore they have the same slope

b. 3/1

When a line is perpendicular it has to be the negative reciprocal. This means that it you have to flip the numbers in the fraction and make it negative (unless it is already negative, then it becomes positive)

c. -1/3