SOLUTION: Please help me, I am soooo lost! Find an equation of the line having given slope and containing the given point. m = -8, (6, 8). The equation of the line is y = ?

Algebra ->  Equations -> SOLUTION: Please help me, I am soooo lost! Find an equation of the line having given slope and containing the given point. m = -8, (6, 8). The equation of the line is y = ?      Log On


   

Question 333883: Please help me, I am soooo lost!
Find an equation of the line having given slope and containing the given point.
m = -8, (6, 8).
The equation of the line is y = ?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
If you want to find the equation of line with a given a slope of -8 which goes through the point (6,8), you can simply use the point-slope formula to find the equation:


---Point-Slope Formula---
y-y%5B1%5D=m%28x-x%5B1%5D%29 where m is the slope, and is the given point

So lets use the Point-Slope Formula to find the equation of the line

y-8=%28-8%29%28x-6%29 Plug in m=-8, x%5B1%5D=6, and y%5B1%5D=8 (these values are given)


y-8=-8x%2B%28-8%29%28-6%29 Distribute -8


y-8=-8x%2B48 Multiply -8 and -6 to get 48


y=-8x%2B48%2B8 Add 8 to both sides to isolate y


y=-8x%2B56 Combine like terms 48 and 8 to get 56


So the answer is y=-8x%2B56