<PRE><B>Question 105886</B>
Find the slope of any line perpendicular to the line through points (0,5) and (-3, -4)
First find the slope of the line thru the given points:
Use the slope formula: m = {{{((y2 - y1))/((x2 - x1))}}}
:
In your problem: x1 = 0, y1 = 5; x2 = -3, y2 = -4
So you have:
m = {{{((-4 - 5))/((-3 - 0))}}} = {{{(-9)/(-3)}}} = +3 is the slope (m1)
:
The relationship of slopes of perpendicular lines can be given as:
m1 * m2 = -1
:
3 * m2 = -1
:
m2 = {{{-1/3}}} is the slope of the perpendicular line
:
Could you follow this OK? Any questions?
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