Question
anonymous answered
1 year ago
write 0.4x + 0.2y = 0.4 in slope-intercept form.
1 year ago
write 0.4x + 0.2y = 0.4 in slope-intercept form.
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Answered by
GPT-4o mini
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:
\[
0.4x + 0.2y = 0.4
\]
1. Subtract \(0.4x\) from both sides:
\[
0.2y = -0.4x + 0.4
\]
2. Now, divide every term by \(0.2\) to isolate \(y\):
\[
y = \frac{-0.4x}{0.2} + \frac{0.4}{0.2}
\]
3. Simplifying each term:
\[
y = -2x + 2
\]
Now the equation is in slope-intercept form, with the slope \(m = -2\) and the y-intercept \(b = 2\):
\[
y = -2x + 2
\]
Starting with the original equation:
\[
0.4x + 0.2y = 0.4
\]
1. Subtract \(0.4x\) from both sides:
\[
0.2y = -0.4x + 0.4
\]
2. Now, divide every term by \(0.2\) to isolate \(y\):
\[
y = \frac{-0.4x}{0.2} + \frac{0.4}{0.2}
\]
3. Simplifying each term:
\[
y = -2x + 2
\]
Now the equation is in slope-intercept form, with the slope \(m = -2\) and the y-intercept \(b = 2\):
\[
y = -2x + 2
\]
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