Please explain: Slope-intercept form: find the slope and y-intercept

ok so slope intercept form:

the formula for slope intercept from is

what each letter stands for"

m= is the slope of the equation

b= the y-intercept of the equation.

to solve for the slope and y-intercept:

HERE IS AN EXAMPLE:

3X+2Y=10

first off you want to get the Y on the out side so you would subtract:

3x  +  2y  =  10

-3x               -3x

*** the 10-3x you CANNONT DO  because they are not like terms***

which would make the equation look like this:

2y = 3x + 10

now you have to get Y by its self so you would divide by 2 on both sides:

2y  =  3x  +  10

-2               -  2

which would give you:

y= 3x  +  8

**the reason you dont divide the 2 with 3x is because you only need it to be on both sides**

Now with this equation you would be able to find the slope and the y intercept.

so you have

y  =  3x  +  8

remember your slope intercept formula y=mx+b

so your slope should be:

m(slope): 3

and your y-intercept should be:

b(y-intercept): 8

hope this helps you understand it better if not let me know and ill try to explain it better to you.

*don't forget to mark me brainiest if this helped you thank you.*

step-by-step explanation: