Question

2x+3y=6 fins the slope of the line

Answer 1

for slope, the equation is y = mx + b, and so you must reorder them to fit the equation

first move the x over

2x (-2x) + 3y = 6 (-2x)

your equation will look like this now:

3y = -2x + 6

as the form is y = mx + b, you must isolate the y by dividing the 3 to both sides.

3y/3 = (-2x + 6)/3

y = -2x/3 + 2

your equation is

y = -2/3x + 2

your slope is m, which is -2/3 in this case

your answer is -2/3

hope this helps

Answer 2

2x + 3y = 6

Put this into y=mx+b form (which is also called slope-intercept form)

Where m=slope and b=y-intercept

In order to put this into slope-intercept form, we simply need to subtract 2x from both side.s

3y = 6 - 2x

Then, divide both sides by 3 so that we fully isolate y.

3y ÷ 3 = (6 - 2x) ÷ 3

Simplify.

y = 2 - 2/3x

Put this into order by moving "x" onto the correct place.

y = -2/3x + 2

Therefore -2/3 is the slope, as it is in the "m" spot.

Hope I helped! :)