Question

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

And c are integers

Answer 1

2x - 3y = 9

Explanation:

The slope-intercept form of an equation of a line:

`y=mx+b`

m - slope

b - y-intercept

We have

`m=(2)/(3),\ (0,\ -3)\ro b=-3`

Substitute:

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

Convert to the standard form (Ax + By = C):

`y=(2)/(3)x-3` multiply both sides by 3

`3y=3\!\!\!\!\diagup\cdot(2)/(3\!\!\!\!\diagup)x-(3)(3)`

`3y=2x-9` subtract 2x from both sides

`-2x+3y=-9` change the signs

`2x-3y=9`