Write 0.4x+0.2y=0.6 in slope-intercept form

Question

y=__

Answer 1

To write the equation \(0.4x + 0.2y = 0.6\) in slope-intercept form, which is \(y = mx + b\), we need to solve for \(y\).

Here are the steps:

1. Start with the original equation: \[ 0.4x + 0.2y = 0.6 \]

2. Subtract \(0.4x\) from both sides: \[ 0.2y = -0.4x + 0.6 \]

3. Divide all terms by \(0.2\) to solve for \(y\): \[ y = \frac{-0.4}{0.2}x + \frac{0.6}{0.2} \]

4. Simplify the fractions: \[ y = -2x + 3 \]

So the equation in slope-intercept form is: \[ y = -2x + 3 \]