Question 78572
Find the slope of any line perpendicular to the line through points (0, 5) and
(-3, -4).
:
Find the slope using the slope equation: m = {{{((y2-y1))/((x2-x1))}}}
:
Let x1 = 0, y1 = 5; x2 = -3, y2 = -4
:
m = {{{((-4-5))/((-3-0))}}} = {{{((-9))/((-3))}}} = +3
:
The relationship of the slopes of perpendicular lines: m1 * m2 = -1
Let m1 = +3, find m2
:
3(m2) = -1
m2 = {{{-1/3}}} is the slope of a line perpendicular to the line of the given points
:
It's good idea to memorize these two simple formulas, you will be using them alot