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!

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)   (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 and .
Also, is the second point . So this means that and .

Start with the slope formula.

Plug in , , , and

Subtract from to get

Subtract from to get

Reduce

So the slope of the line that goes through the points and is

Now let's use the point slope formula:

Start with the point slope formula

Plug in , , and

Rewrite as

Distribute

Multiply

Subtract 6 from both sides.

Combine like terms.

So the equation that goes through the points and is

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
I hope this meets with your demanding schedule.

Then you can solve either of these to get your answer.

Answer by checkley77(12844)   (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 300x200 pixels, x from -6 to 10, y from -18 to 10, -5x/4 -6).
RELATED QUESTIONS
Write an equation of the line through the given points. (0,-6),(8,-16). Also write an... (answered by ReadingBoosters)
write an equation of a line that goes through the given... (answered by jim_thompson5910)
write an equation of the line that passes through point p and is parallel to the line... (answered by Alan3354)
write a equation of a line through the given points (answered by stanbon)
Write the equation of a line parallel to the given line but passing through the given... (answered by Cromlix)
Thanks a lot. We really appreciate your help. Write the equation of the line in both... (answered by venugopalramana)
Write the equation of the line with a slope of -5 and a y-intercept of (0,3). Write... (answered by Alan3354)
Write an equation for the line that is parallel to the given line and passes through the... (answered by Alan3354)
Consider the point P = (2, 8) and the line L, given by the equation 6x - 3y = 15. A.... (answered by TimothyLamb)