Question

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

Answer 1

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), we need to solve for \(y\).

Starting with the original equation:

\[
0.4x + 0.2y = 0.6
\]

1. Subtract \(0.4x\) from both sides:

\[
0.2y = -0.4x + 0.6
\]

2. Now, divide every term by \(0.2\) to isolate \(y\):

\[
y = \frac{-0.4x}{0.2} + \frac{0.6}{0.2}
\]

3. Simplifying the right side gives:

\[
y = -2x + 3
\]

Thus, the equation in slope-intercept form is:

\[
y = -2x + 3
\]

Here, the slope \(m\) is \(-2\) and the y-intercept \(b\) is \(3\).