Final answer:
To convert the equation 2x + 3y - 6 into slope-intercept form, you need to isolate y. The slope-intercept form is y = (-2/3)x + 2.
Step-by-step explanation:
To convert the equation 2x + 3y - 6 into slope-intercept form, we need to rearrange the equation to solve for y.
Step 1: Add 6 to both sides of the equation: 2x + 3y - 6 + 6 = 0 + 6. Simplify to get: 2x + 3y = 6.
Step 2: Subtract 2x from both sides of the equation: 2x + 3y - 2x = 6 - 2x. Simplify to get: 3y = -2x + 6.
Step 3: Divide both sides of the equation by 3 to isolate y: (3y) / 3 = (-2x + 6) / 3. Simplify to get: y = (-2/3)x + 2.