To convert the equation \(0.4x + 0.2y = 0.6\) into slope-intercept form, which is \(y = mx + b\) (where \(m\) is the slope and \(b\) is the y-intercept), follow these steps:
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Isolate \(y\) on one side of the equation. Start by moving \(0.4x\) to the other side:
\[ 0.2y = -0.4x + 0.6 \]
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Divide every term by \(0.2\) to solve for \(y\):
\[ y = -2x + 3 \]
Now, the equation \(y = -2x + 3\) is in slope-intercept form, where the slope \(m = -2\) and the y-intercept \(b = 3\).