SOLUTION: Find the slope of the line determined by the following equation. 8x-y = 72 I have toiled over this equation for an hour. Please show me in steps.

Algebra ->  Linear-equations -> SOLUTION: Find the slope of the line determined by the following equation. 8x-y = 72 I have toiled over this equation for an hour. Please show me in steps.      Log On


   



Question 258008: Find the slope of the line determined by the following equation.
8x-y = 72
I have toiled over this equation for an hour. Please show me in steps.

Found 2 solutions by unlockmath, Earlsdon:
Answer by unlockmath(1688) About Me  (Show Source):
You can put this solution on YOUR website!
Hello,
First we want to get this equation 8x-y = 72 into this form y=mx+b
8x-y = 72 So first we subtract 8x from both sides to give us:
-y=-8x+72 Now divide both sides by -1 to get rid of the negative sign in front of the "y".
y=8x-72 OK, Now we have it in the form of y=mx+b ("m" is the slope) so therefore:
Slope is 8 or some students like to put it as 8/1
RJ
Check out a new book I wrote at:
www.math-unlock.com

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Remember the "slope-intercept" form of a linear equation?
y+=+mx%2Bb where m = slope and b = y-intercept.
Rewrite your equation so that it's in the "slope-intercept" form.
8x-y+=+72 Add y to both sides of the equation.
8x+=+y%2B72 Now subtract 72 from both sides.
8x-72+=+y or...
y+=+8x-72 compare this with the general "slope-intercept" form...
y+=+mx%2Bb and you can see that the slope highlight%28m+=8%29 and the y-intercept b+=+-72