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:2x - 3y = 9Step-by-step explanation:The slope-intercept form of an equation of a line:[tex]y=mx+b[/tex]m - slopeb - y-interceptWe have[tex]m=\dfrac{2}{3},\ (0,\ -3)\ro b=-3[/tex]Substitute:[tex]y=\dfrac{2}{3}x-3[/tex]Convert to the standard form (Ax + By = C):[tex]y=\dfrac{2}{3}x-3[/tex]               multiply both sides by 3[tex]3y=3\!\!\!\!\diagup\cdot\dfrac{2}{3\!\!\!\!\diagup}x-(3)(3)[/tex][tex]3y=2x-9[/tex]                subtract 2x from both sides[tex]-2x+3y=-9[/tex]               change the signs[tex]2x-3y=9[/tex]