SOLUTION: If the slope of a line through (-3,-4k) and (5,8) is -2/3, what is the value of k?

Algebra ->  Linear-equations -> SOLUTION: If the slope of a line through (-3,-4k) and (5,8) is -2/3, what is the value of k?      Log On


   

Question 273283: If the slope of a line through (-3,-4k) and (5,8) is -2/3, what is the value of k?
Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
we use the slope formula m=%28%28y-y%29%2F%28x-x%29%29
-2%2F3=%28%288-%28-4k%29%29%2F%285-%28-3%29%29%29correct the signs
-2%2F3=%28%288%2B4k%29%2F%285%2B3%29%29add
-2%2F3=%28%288%2B4k%29%2F8%29cross multiply
-2%288%29=%288%2B4k%29%283%29multiply
-16=24%2B12ksubtract 24
-40=12kdivide 12
-40%2F12=12k%2F12reduce fraction
highlight%28-10%2F3=k%29