Question

How do you identify the slope for `2x-3y=12`?

Answer 1

Slope (`m`)=`2/3`

Explanation:

We can determine our slope by changing this equation to slope-intercept form, `y=mx+b`, where `m` is our slope.

We have

`2x-3y=12`

We can start by subtracting `2x` from both sides to get:

`-3y=-2x+12`

Our last step would be to divide both sides of the equation by `-3`. We get:

`y=2/3x-4`

When we're in slope-intercept form, the slope is the coefficient on the `x` term. We see that the coefficient of `x` is `2/3`, so this is the slope.

`m=2/3`

Hope this helps!

Answer 2

`"slope "=2/3`

Explanation:

`"the equation of a line in "color(blue)"slope-intercept form"` is.

`•color(white)(x)y=mx+b`

`"where m is the slope and b the y-intercept"`

`"rearrange "2x-3y=12" into this form"`

`rArr-3y=-2x+12larr"divide all terms by "-3`

`rArry=2/3x-4larrcolor(blue)"in slope-intercept form"`

`rArr"rslope m "=2/3`