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

$m=\frac{2}{3}$

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

$y=\frac{2}{3}x-3$

now, we have to write it in

Ax+By =C form

so, we will multiply both sides of equation by 3

$3*y=3*\frac{2}{3}x-3*3$

$3y=2x-9$

Subtract both sides by 2x

$3y-2x=2x-9-2x$

$3y-2x=-9$

$-2x+3y=-9$

so,

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