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.*

connie < felicia < stew

step-by-step explanation:

stew:

we need to find the slope

m = (y2-y1)/ (x2-x1)

    = (2650-795)/(10-3)

    = 1855/7

265 words per minute

connie:

we need to find the slope

m = (y2-y1)/ (x2-x1)

we have two points (0,0) and (4,800)

m = (800-0)/(4-0)

  m = 800/4

    200 words per minute

felicia:

260 words per minute

200< 260 < 265

connie < felicia < stew

a line is an defined derm because it

a)contains an infinite number of points b) can be used to create other geometric shapes c)describes something that does not have width or depth d) is a term that does not have a formal definition. a line is an undefined term because it: contains an infinite number of points.