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Hey there!
Your answer would be y=-2/3x+2
We are given 2x+3y=6, and want to turn that into a slope-intercept equation (y=mx+b, where m is the slope and b is the y intercept)
Start by subtracting 2x on both sides: 3y=6-2x
Rearrange to get the x term before the 6: 3y=-2x+6
Divide by 3 to get your answer: y=-2/3x+2
Answer:
y = -2/3x + 2
Step-by-step explanation:
The slope-intercept form should be in the form of y = mx + b.
Where m is the slope, b is the y-intercept.
2x + 3y = 6
Make y as the subject.
3y = 6 - 2x
y = 6/3-2/3x
y = 2 - 2/3x
-2/3 is the slope. 2 is the y-intercept.