Graph the line 3 y − 2 x = − 9

Answer 1

solve for y

3y -2x = -9

3y = 2x -9

y = (2/3)x - 3 is in slope intercept form. The slope is 2/3, upward sloping with y intercept = -3

y intercept is (0, -3)

x intercept is (9/2, 0) or (4.5, 0)

Plot those two points, connect them with a straight line and extend that line in both directions a little beyond those two points. Put an arrow at the ends to indicate the line goes forever in both directions.