How to find the slope of 3x-2y=4?

Question

How to find the slope of 3x-2y=4?

Answer 1

3x - 2y = 4

Add 2y to both sides

3x = 4 + 2y

Subtract 4 from both sides

3x-4=2y

Divide both sides (all parts of the equation) by 2

(3x-4)/2 = y = (3x/2) - (4/2) = (3x/2) - 2

Slope is the coefficient of the "x" coordinate (3/2) or 1.5

Answer 2

Well first you have to get the y values on one side and get the rest of it on the other side.

So...

2y= --3x + 4

two y equals minus three x plus 4

Now you have to divide y by two, so it will be just y.  But if you divide one side by 2, you have to divide the other.

So...

                 y=              --3x + 4

                                  --------------

                                          2



The slope is     -  3/2            and the y intercept is 4

Slope: minus three over two

Hope I helped!

Answer 3

Assuming you want it in slop-intercept form (y=mx+b), you'd begin with what's given: 3x-2y=4.  

Begin by subtracting 3x from both sides:

3x-2y-3x=4-3x

------------------

-2y=4-3x

or

-2y = -3x+4

Now, divide both sides by -2

-2y/-2 = -3x/-2 +4/-2

---------------

y = 3/2x - 2

y = m  x +b

M = slope, therefore slope = 3/2

Answer 4

To find the slope of this line, first rearrange the equation to slope intercept form which is y=mx+b  where m is the slope.  After rearranging it, we get 2y=3x- 4.......divide by 2 to get y by itself......which in turn leaves us with y=1.5x- 2........therefore the slope is 1.5, or 3/2.

Answer 5

If 3x.2y=4 is a line, you can use the formula,

slope of a line= -a/b, where a is the coefficient of x and b is the coefficient of y.

hence, slope of 3x-2y=4= -a/b = -3/-2 = 3/2

This is the best method to find the slope of a line.

Answer 6

First, get the y term all by itself:

3x - 2y = 4

    + 2y   +2y

=========

3x = 4 + 2y

Now subtract 4 from both sides

3x = 4 + 2y

-4    -4

=========

3x - 4 = 2y

Finally, divide everything by 2 to get y alone

y = 3/2x - 2

The slope is the coefficient of the X term, so it's 3/2