Score: $1 / 3$
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Question
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Put the following equation of a line into slope-intercept form, simplifying all fractions.
\[
2 x-3 y=18
\]

Answer Attempt 1 out of 2
\[
y=1
\]

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Step 1 ：The question is asking to convert the given equation of a line into slope-intercept form. The slope-intercept form of a line is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept. To do this, we need to isolate \(y\) in the equation.

Step 2 ：Starting with the equation \(2x - 3y = 18\), we can isolate \(y\) by first subtracting \(2x\) from both sides to get \(-3y = -2x + 18\).

Step 3 ：Then, we divide every term by \(-3\) to solve for \(y\), which gives us \(y = \frac{2}{3}x - 6\).

Step 4 ：Final Answer: The slope-intercept form of the given equation is \(\boxed{y = \frac{2}{3}x - 6}\).