Put the following equation of a line into slope-intercept form, simplifying all fractions. \[ 3 x-2 y=-2 \] Answer Attempt 1 out of 2 Submit Answer Copyright (2023 DeltaMath.com All Rights Reserved. Privacy Policy | Terms of Service

Step 1 ：The slope-intercept form of a line is given by \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept. To put the given equation into this form, we need to isolate \(y\). We can do this by adding \(2y\) to both sides of the equation and then dividing by \(2\).

Step 2 ：Starting with the equation \(3x - 2y = -2\), we add \(2y\) to both sides to get \(3x = 2y - 2\).

Step 3 ：Next, we divide both sides by \(2\) to isolate \(y\), giving us \(y = \frac{3}{2}x + 1\).

Step 4 ：Final Answer: The slope-intercept form of the given equation is \(\boxed{y = \frac{3}{2}x + 1}\).