Question

PLEASE PLEASE PLEASE PLEASE HELP WITH MATH. ILL GIVE POINTS, BRAINY, AND FRIEND.

If given an equation of a line such as y = -1/2x + 6, demonstrate on the whiteboard how to create an equation of a line parallel and perpendicular to this line that goes through another point such as (4, 10).

Answer 1

The slope of a line parallel to another line are equal, and the slope of a line and a perpendicualr line is the reciprocal. So, a line parallel to y = -1/2x + 6 that goes through (4,10) will have an equation of y = -1/2x + 10 (slope is the same and y-intercept changed). The line perpendicular would have an equation that looks like this: y = 2x + 10 (the slope is the reciprocal of the original slope).