The question asks to determine the slope and $y$-intercept of the line represented by the equation $y = 5x + 1$.

This equation is in the slope-intercept form, which is generally written as: $y = mx + b$ where:

• $m$ is the slope, and
• $b$ is the $y$-intercept.

For the equation $y = 5x + 1$:

• The slope $m = 5$,
• The $y$-intercept $b = 1$.

So the answers are:

• Slope = 5
• $y$-intercept = 1

Would you like more details or have any further questions?

Here are 5 related questions to think about:

1. What is the slope of the line $y = -3x + 7$?
2. How do you find the slope of a line given two points?
3. What does the slope of a line represent in real-world scenarios?
4. How does the graph of the line change if the slope is negative?
5. How do you find the $y$-intercept when the equation is not in slope-intercept form?

Tip: The slope determines the steepness of a line; a larger slope means the line is steeper.