Final answer:
To write the equation 2-3y+6x=0 in slope-intercept form, we isolate the y variable to yield the equation y = (1/2)x + (2/3).
Step-by-step explanation:
To write the equation 2-3y+6x=0 in slope-intercept form, we need to isolate the y variable on one side of the equation. First, let's rearrange the equation: 6x - 3y = -2. Now, let's solve for y:
Subtract 6x from both sides:
-3y = -6x - 2
Divide both sides by -3 to isolate y:
y = (1/2)x + (2/3)
Therefore, the equation 2-3y+6x=0 written in slope-intercept form is y = (1/2)x + (2/3).
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