SOLUTION: A line passes through the point (8, - 6) and has a slope of - 5/2 Write an equation in point -slope form for this line.

Algebra ->  College  -> Linear Algebra -> SOLUTION: A line passes through the point (8, - 6) and has a slope of - 5/2 Write an equation in point -slope form for this line.      Log On


   



Question 1184939: A line passes through the point (8, - 6) and has a slope of - 5/2 Write an equation in point -slope form for this line.
Found 2 solutions by JBnovelwriter, MathTherapy:
Answer by JBnovelwriter(34) About Me  (Show Source):
You can put this solution on YOUR website!
y=mx%2Bb
m=%28y2-y1%29%2F%28x2-x1%29
your given 1 point on the line where x1=8 and y1=%28-6%29
m=-5%2F2
%28-5%2F2%29=%28y2-y1%29%2F%28x2-x1%29
highlight%28%28-5%2F2%29=%28y-8%29%2F%28x%2B6%29%29
or
-6=%28-5%2F2%298%2Bb
-6=%28-20%29%2Bb
14=b
highlight%28y=%28-5%2F2%29x%2B14%29
if you need to solve:
-5=%28y2-y1%29 and 2=%28x2-x1%29
-5=%28y2-8%29 and 2=%28x2-%28-6%29%29
-5=%28y-8%29 and 2=%28x%2B6%29%29 solve for the variables
8-5=%28y%29 and 2-6=%28x%29%29
3=y and -4=x%29

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
A line passes through the point (8, - 6) and has a slope of - 5/2 Write an equation in point -slope form for this line.
        matrix%281%2C3%2C+y+-+y%5B1%5D%2C+%22=%22%2C+m%28x+-+x%5B1%5D%29%29 <==== Point-slope form