Question
what is the slope amd y range of 5y=3
Answers
Answered by
GPT-4o mini
To find the slope and y-range of the equation \(5y = 3\), we first need to rearrange it into a more standard form.
1. Divide both sides by 5:
\[
y = \frac{3}{5}
\]
This equation tells us that \(y\) is equal to \(\frac{3}{5}\) for all values of \(x\).
### Slope
The slope of the line represented by this equation is \(0\) because it is a horizontal line. In general, for a line that can be represented as \(y = c\) (where \(c\) is a constant), the slope is always \(0\).
### Y-Range
Since \(y\) does not vary but is always equal to \(\frac{3}{5}\), the y-range is simply the single value:
\[
\text{Y-Range} = \left\{ \frac{3}{5} \right\}
\]
In summary:
- **Slope:** \(0\)
- **Y-Range:** \(\left\{ \frac{3}{5} \right\}\)
1. Divide both sides by 5:
\[
y = \frac{3}{5}
\]
This equation tells us that \(y\) is equal to \(\frac{3}{5}\) for all values of \(x\).
### Slope
The slope of the line represented by this equation is \(0\) because it is a horizontal line. In general, for a line that can be represented as \(y = c\) (where \(c\) is a constant), the slope is always \(0\).
### Y-Range
Since \(y\) does not vary but is always equal to \(\frac{3}{5}\), the y-range is simply the single value:
\[
\text{Y-Range} = \left\{ \frac{3}{5} \right\}
\]
In summary:
- **Slope:** \(0\)
- **Y-Range:** \(\left\{ \frac{3}{5} \right\}\)
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