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The equation given in the problem is:

\[
5x - y = 5
\]

To find the slope, we should rewrite the equation in slope-intercept form, which is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept.

### Step 1: Rearrange the equation
\[
5x - y = 5
\]

Subtract \(5x\) from both sides:
\[
-y = -5x + 5
\]

Multiply both sides by \(-1\) to isolate \(y\):
\[
y = 5x - 5
\]

Now, the equation is in slope-intercept form: \(y = 5x - 5\).

### Step 2: Identify the slope
In the equation \(y = 5x - 5\), the coefficient of \(x\) is the slope. Therefore, the slope \(m = 5\).

Thus, the correct choice for this problem is:
- **A. The slope is 5.**

Do you want more details or have any questions?

Here are 5 related questions you can explore:
1. How would the graph of \( y = 5x - 5 \) look like?
2. What happens to the slope if the equation was \( -5x + y = -5 \)?
3. How do you find the slope of a vertical line?
4. What does the y-intercept \(b = -5\) tell you about the graph?
5. How would the slope change if the coefficient of \(x\) was negative?

**Tip:** The slope of a line indicates its steepness. A positive slope means the line rises from left to right, while a negative slope means it falls from left to right.

Find the slope of the line given by the equation 5x - y = 5.

Learn how to find the slope of the line from the equation 5x - y = 5. The solution demonstrates step-by-step conversion from standard form to slope-intercept form. Suitable for students in Grades 8-10 learning about linear equations and algebra.

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