2y- x/3 = 12   what is the slope?

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There are many ways to find the slope - the easiest being to put the equation into the slope intercept form, which is

y=mx+b where m represents the slope and b represents the y intercept

To do this, we want to solve the equation 2y-x/3=12 for y

first add x/3...

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There are many ways to find the slope - the easiest being to put the equation into the slope intercept form, which is

y=mx+b where m represents the slope and b represents the y intercept

To do this, we want to solve the equation 2y-x/3=12 for y

first add x/3 to both sides of the equation to get

2y=12+x/3 or 2y=x/3+12

Our next step would be to divide both sides by 2 but this could be a bit messy with x already being divided by 3. We can eliminate the fraction x/3 by multiplying the entire equation by 3 before doing anything else - this would give us

3(2y=x/3+12) => 6y=x+36

Now if we divide everything by 6 we will isolate the y on the left side of the equation, and the coefficient of the x term will be our slope

y=x/6+6 or we can separate the x/6 and make it a multiplication like this (1/6)x so the equation now looks like this

y=(1/6)x+6 and by looking at the coefficient of x we see that our slope is 1/6.

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2y-x/3 =12

To find the slope we need to rewrite the function with the standard form y=mx +b   where m is the slope

2y -x/3 =12

2y = x/3 +12

Divide by 2:

y= x/6 + 6

Then the slope would be x factor which is 1/6

Approved by eNotes Editorial Team