can someone show me how or explain to me how to get the slope of

Question

2x +3y=7

Answer 1

3y=7-2x
now solve for y

Answer 2

solve for y to get your equation into to slope-intercept form

y=mx+b

m=slope

Answer 3

2x+3y=7
-2x. -2x
3y=-2x+7
\3 \3 \3
y=-2/3x+7/3