Question

Write an equation in the form Ax+By =C, given that m=2/3 and y intercept is (0,-3) where A,B,C, are integers

Answer 1

we are given

slope is

`m=(2)/(3)`

y-intercept is (0,-3)

`b=-3`

now, we can use slope intercept form of equation

`y=mx+b`

where

m is slope

b is y-intercept

now, we can plug these values

we get

`y=(2)/(3)x-3`

now, we have to write it in

Ax+By =C form

so, we will multiply both sides of equation by 3

`3*y=3*(2)/(3)x-3*3`

`3y=2x-9`

Subtract both sides by 2x

`3y-2x=2x-9-2x`

`3y-2x=-9`

`-2x+3y=-9`

so,

Answer is
`-2x+3y=-9`