To convert the equation \(0.4x + 0.2y = 0.6\) into slope-intercept form (which is \(y = mx + b\)), we need to solve for \(y\).
Starting with the original equation:
\[ 0.4x + 0.2y = 0.6 \]
First, isolate the term containing \(y\) by subtracting \(0.4x\) from both sides:
\[ 0.2y = 0.6 - 0.4x \]
Next, we can switch the order on the right side for clarity:
\[ 0.2y = -0.4x + 0.6 \]
Now, divide every term by \(0.2\) to solve for \(y\):
\[ y = \frac{-0.4x}{0.2} + \frac{0.6}{0.2} \]
\[ y = -2x + 3 \]
So, in slope-intercept form, we have:
\[ y = -2x + 3 \]
Thus, the answer is:
\[ y = -2x + 3 \]