slopes and lines

Question

Consider the equation 

A) A line parallel to the above line would have a slope of _________

B) A line perpendicular to the above line would have a slope of 

Answer 1

A) Parallel lines have the SAME SLOPE. Therefore, a parallel line will also have a slope of 1/3

B) Perpendicular lines have slopes that are OPPOSITE and RECIPROCAL. This means you need to turn the 1/3 upside-down and make it negative: Therefore, the answer is -3/1, which means the same as -3.