Step 1 :The slope-intercept form is typically represented as \(y = mx + b\), where m is the slope and b is the y-intercept.
Step 2 :To rewrite \(3x - 2y = 6\) in slope-intercept form, we need to solve for y. First, we isolate y by subtracting \(3x\) from both sides of the equation to get \(-2y = -3x + 6\).
Step 3 :Then we divide each term by \(-2\) to solve for y, which gives us \(y = \frac{3}{2}x - 3\).