Answer: Choice B) y = (-2/3)x + 6
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Work Shown:
2x+3y = 18
3y = 18-2x ..... subtract 2x from both sides
3y = -2x+18
y = (-2x+18)/3 .... divide both sides by 3
y = (-2x)/3 + 18/3
y = (-2/3)x + 6
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As a quick shortcut, anything in the form Ax+By = C will convert to y = (-A/B)x+(C/B) when you solve for y.
The slope is -A/B and the y intercept is C/B
