Question 150781
What is the slope of a line that is perpendicular to the line that passes through the points (4,7) and (9,3)? 
:
Use the slope formula to find the slope: m = {{{((y2-y1))/((x2-x1))}}}
:
Assign values: x1=4, y1=7; x2=9, y2=3
m1 = {{{((3-7))/((9-4))}}} = {{{(-4)/5}}} = {{{-4/5}}}
:
The relationship of slopes of perpendicular lines: m1*m2 = -1; find m2
{{{-4/5}}} * m2 = -1
m2 = -1 * {{{-5/4}}}
m2 = +{{{5/4}}} slope of the perpendicular line