How do I convert slope intercept form to standard from?

Question

I know slope intercept form is y=mx+b and standard form is Ax+By=C but how do i convert them back and forth, do i sjut sswitch the figures around?

Answer 1

slope intercept form is
y=mx+b
transposing you get y-mx-b=0
multiplying by (-1)
mx+y+b=0
if the slope intercept form is y=(a/b)x+k
by=ax+bk
transposing
by-ax-bk=0
multiplying by (-1( and writing bk as c
ax+by+c=0 which is the standard form

Answer 2

If you have a formula

y = mx + c

and you want to get it into Ax + By + C = 0

Then you must do some rearranging.

subtract y from both sides

0 = mx - y + c

Answer 3

y=mx+b

=> mx-y+b=0
=> mx-y = -b
this is in the standard form A=m, B=-1, C=-b

Answer 4

particular through fact the formula for traditional mode is AX+with the help of=C. And it follows the standard variety rule. I additionally solved it on my own and that's what I have been given. satisfied holidays and if u have the different questions upload it on extra information and that i would be satisfied to help :)

Answer 5

A simple switching of the figures should work, but I'd check your textbook first.

Answer 6

yes