Put the following equation of a line into slope-intercept form, simplifying all fractions.
3x-2y=-2
To put the equation 3x - 2y = -2 into slope-intercept form, we want to isolate y on one side of the equation with a coefficient of 1.
First, let's move the 3x term to the other side of the equation by subtracting 3x from both sides:
-2y = -3x - 2
Next, let's divide every term in the equation by -2 to simplify the coefficient of y to 1:
y = (3/2)x + 1
Therefore, the equation 3x - 2y = -2 in slope-intercept form is:
y = (3/2)x + 1.