Problem

Score: $1 / 3$ Penalty: none Question () Watch Video 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 \[ y=1 \] Submit Answer

Solution

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 \(\boxed{y = \frac{2}{3}x - 6}\).

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