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y = x + 3
The equation of a line in slope-intercept form is
y = mx + c ( m is the slope and c the y-intercept )
rearrange - 2x + 3y = 9 into this form
add 2x to both sides
3y = 2x + 9 ( divide all terms by 3 )
y = x + 3 ← in slope-intercept form