The graph of a line has a slope of -2/3 and a y intercept of (0,2). rewrite the equation in standard for (ax+by=c) with a positive term. a, b, and c must all be intergers. what is the answer?

2x + 3y = 6

Step-by-step explanation:

obtain the equation in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

here m = - and c = 2

y = - x + 2 ← in slope-intercept form

multiply all terms by 3 to eliminate the fraction

3y = - 2x + 6 ( add 2x to both sides )

2x + 3y = 6 ← in standard form