Final answer:
The equation can be written in slope-intercept form as y = mx + b by isolating y on one side of the equation.
Step-by-step explanation:
The equation 2x-3y=6 can be written in slope-intercept form as y = mx + b, where m represents the slope and b represents the y-intercept.
To convert the given equation to slope-intercept form, we isolate y.
First, we subtract 2x from both sides to get -3y = -2x + 6. Then, we divide both sides by -3 to solve for y, which gives us y = 2/3x - 2.
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