Question 6004: find the slope of a line that is parallel to and slope that is perpendicular to the following line: y=-3x
Thanks Caroline Answer by rapaljer(4671) (Show Source):
You can put this solution on YOUR website! In the equation of a line in the form y=mx+b, the coefficient of x is the slope of the line. The slope of this line is therefore the coefficient of x, which is -3. A line parallel to this line is going in the same direction, so it also has a slope of m= -3.
A line that is perpendicular to a given line has a slope that is the NEGATIVE RECIPROCAL of the slope of the given line. Therefore, the slope of a line perpendicular to must have a slope that is the opposite sign AND the reciprocal of m = -3, which is .
