Question 383087
: Find the slope of any perpendicular to the line through points (8,4) and (9,7)
:
Find the slope of the original line using the given coordinates
the slope formula: m = {{{((y2-y1))/((x2-x1))}}}
Assign the given values as follows
x1=8, y1=4
x2=9, y2=7
:
m1 = {{{((7-4))/((9-8))}}} = {{{3/1}}} or just 3 = the slope of the original line
:
We know the slope relationship of perpendicular lines = m1*m2 = -1
:
We have m1, find m2
3*m2 = -1
m2 = {{{-1/3}}} is the slope of the perpendicular line