Question

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?

Answer 1

2x + 3y = 6

Explanation:

obtain the equation in slope- intercept form

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

here m = -
`(2)/(3)` and c = 2

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