Question

How to rewrite the this as Ax+By+C=0

f(x)=5/2(2x+4)

Answer 1

f(x) is the same as y

so we have :
y = 5/2(2x + 4) -- distribute through the parenthesis
y = 5x + 10 -- subtract 5x from both sides
-5x + y = 10 -- multiply by -1
5x - y = -10 -- add 10 to both sides
5x - y + 10 = 0

Answer 2

can you give the exact procedure i want to know how did u get that answer thnks

Answer 3

there's a lot of it that i didnt understand

Answer 4

your answer is not clear to me sir

Answer 5

f(x) represents y

so your equation now is : y = 5/2(2x + 4)
we now want to get rid of the parenthesis by multiplying the number outside of the parenthesis by everything in the parenthesis.
So, basically, we are doing this...
y = 5/2 * 2x + 5/2 * 4
y = 10/2x + 20/2 -- reduce
y = 5x + 10
now we want this in Ax + By = C
so first we can subtract 5x from both sides
-5x + y = 5x - 5x + 10 -- combine like terms
-5x + y = 10
now we can subtract 10 from both sides
-5x + y - 10 = 10 - 10 (combine like terms)
-5x + y - 10 = 0
we will now multiply the entire equation by -1, because we do not want x to be negative
-5x + y - 10 = 0 ---->(-1)
5x - y + 10 = 0 <=== standard form

does that help any ?

Answer 6

any questions ?

Answer 7

i get it now thnx

Answer 8

sure thing :)