SOLUTION: Find the slope if it exists x+3y=6 I came up with x+3y-3=6-3= 3 therefore the slope exists and it is 3

Algebra ->  Linear-equations -> SOLUTION: Find the slope if it exists x+3y=6 I came up with x+3y-3=6-3= 3 therefore the slope exists and it is 3      Log On


   

Question 223833: Find the slope if it exists x+3y=6
I came up with x+3y-3=6-3= 3 therefore the slope exists and it is 3
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
Find the slope if it exists x+3y=6

Step 1. We need to put the equation in slope-intercept form given as y=mx+b where m is the slope and b is the y-intercept at x=0 or at point (0,b).

Step 2. Given x%2B3y=6, then subtract x from both sides of the equation

x%2B3y-x=6-x

3y=-x%2B6

Divide 3 to both sides of the equation

3y%2F3=-x%2F3%2B6%2F3

y=-x%2F3%2B2

Step 3. The equation y=-x%2F3%2B2 is in slope-intercept form where the slope m=-1%2F3 and the y-intercept b=2.

Step 4. ANSWER: The slope m=-1%2F3 exists.

I hope the above steps were helpful.

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http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit
http://www.FreedomUniversity.TV/courses/Trigonometry.

Good luck in your studies!

Respectfully,
Dr J