To write the equation \(0.4x + 0.2y = 0.4\) in slope-intercept form (which is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept), we'll solve for \(y\).
Starting with the original equation:
\[ 0.4x + 0.2y = 0.4 \]
- Subtract \(0.4x\) from both sides:
\[ 0.2y = -0.4x + 0.4 \]
- Now, divide every term by \(0.2\) to isolate \(y\):
\[ y = \frac{-0.4x}{0.2} + \frac{0.4}{0.2} \]
- Simplifying each term:
\[ y = -2x + 2 \]
Now the equation is in slope-intercept form, with the slope \(m = -2\) and the y-intercept \(b = 2\):
\[ y = -2x + 2 \]
2 answers