Question

write the equation, (11-4y=32) on a chart

Answer 1

To create a chart for the equation \(11 - 4y = 32\), we first need to solve for \(y\) in terms of \(x\), or rearrange it so we can easily plot it.

1. Start with the equation:
\[
11 - 4y = 32
\]

2. Subtract 11 from both sides:
\[
-4y = 32 - 11
\]
\[
-4y = 21
\]

3. Divide both sides by -4 to solve for \(y\):
\[
y = -\frac{21}{4}
\]
\[
y = -5.25
\]

Since this corresponds to a horizontal line, the equation suggests that for any value of \(x\), \(y\) will always be \(-5.25\).

Now to represent this on a chart, we can create a simple table of values (for example, you can choose a few \(x\) values) and plot them:

| \( x \) | \( y \) |
|-----------|-----------|
| -2 | -5.25 |
| 0 | -5.25 |
| 2 | -5.25 |
| 4 | -5.25 |
| 6 | -5.25 |

**Graphing the Equation:**
- On a graph, you would plot horizontal line at \(y = -5.25\) across all chosen \(x\) values.

**Axes Labels:**
- Label the x-axis (horizontal) and the y-axis (vertical).
- Clearly mark the position of the line representing \(y = -5.25\).

This would give you a complete representation of the equation on a chart.