Question

Write 0.4x+0.2y=0.6
in slope-intercept form.(1 point)
y=
Remaining

Answer 1

To write the equation \(0.4x + 0.2y = 0.6\) in slope-intercept form \(y = mx + b\), follow these steps:

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

2. Isolate \(y\) on one side of the equation. First, subtract \(0.4x\) from both sides:
\[
0.2y = -0.4x + 0.6
\]

3. Now, divide every term 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 slope-intercept form of the equation is:
\[
y = -2x + 3
\]