SOLUTION: write an equation of the line through the given points. (0,-6) (8,-16) Try to get back to me a.s.a.p! Thanks a lot!

Algebra ->  Linear-equations -> SOLUTION: write an equation of the line through the given points. (0,-6) (8,-16) Try to get back to me a.s.a.p! Thanks a lot!      Log On


   

Question 297887: write an equation of the line through the given points. (0,-6) (8,-16) Try to get back to me a.s.a.p! Thanks a lot!
Found 3 solutions by jim_thompson5910, Fombitz, checkley77:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

First let's find the slope of the line through the points and


Note: is the first point . So this means that x%5B1%5D=0 and y%5B1%5D=-6.
Also, is the second point . So this means that x%5B2%5D=8 and y%5B2%5D=-16.


m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29 Start with the slope formula.


m=%28-16--6%29%2F%288-0%29 Plug in y%5B2%5D=-16, y%5B1%5D=-6, x%5B2%5D=8, and x%5B1%5D=0


m=%28-10%29%2F%288-0%29 Subtract -6 from -16 to get -10


m=%28-10%29%2F%288%29 Subtract 0 from 8 to get 8


m=-5%2F4 Reduce


So the slope of the line that goes through the points and is m=-5%2F4


Now let's use the point slope formula:


y-y%5B1%5D=m%28x-x%5B1%5D%29 Start with the point slope formula


y--6=%28-5%2F4%29%28x-0%29 Plug in m=-5%2F4, x%5B1%5D=0, and y%5B1%5D=-6


y%2B6=%28-5%2F4%29%28x-0%29 Rewrite y--6 as y%2B6


y%2B6=%28-5%2F4%29x%2B%28-5%2F4%29%28-0%29 Distribute


y%2B6=%28-5%2F4%29x%2B0 Multiply


y=%28-5%2F4%29x%2B0-6 Subtract 6 from both sides.


y=%28-5%2F4%29x-6 Combine like terms.


So the equation that goes through the points and is y=%28-5%2F4%29x-6

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
I hope this meets with your demanding schedule.
y-y1=%28%28y2-y1%29%2F%28x2-x1%29%29%28x-x1%29
Then you can solve either of these to get your answer.
y-%28-6%29=+%28%28-16-%28-6%29%29%2F%288-0%29%29%28x-0%29
y-%28-16%29=+%28%28-16-%28-6%29%29%2F%288-0%29%29+%28x-8%29

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
(0,-6) (8,-16)
Y=mX+b
m=slope.
b=Y intercept.
m=(Y2-Y1)/(X2-X1)
m=(-16+6)/(8-0)
m=-10/8=-5/4 ans.
-6=0*-5/4+b
b=-6
Y=-5x/4-6 ans. for the line equation.
+graph%28+300%2C+200%2C+-6%2C+10%2C+-18%2C+10%2C+-5x%2F4+-6%29+ (graph 300x200 pixels, x from -6 to 10, y from -18 to 10, -5x/4 -6).