To find the equation of a line, we use the slope-intercept form, which is given by:

$y = mx + b$

where:

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

Given:

• The slope $m = 5$,
• The $y$-intercept is $4$ (from the point $(0,4)$).

We substitute these values into the slope-intercept formula:

$y = 5x + 4$

Thus, the equation of the line is:

$y = 5x + 4$

Would you like more details or explanations on this?

Here are 5 related questions to explore:

1. How would the equation change if the slope was negative?
2. What is the equation if the line passes through $(2, 10)$ with the same slope?
3. How can you find the slope if the equation is given in a different form (e.g., standard form)?
4. How do you graph a line using its slope and $y$-intercept?
5. How do parallel and perpendicular slopes relate to each other?

Tip: The slope-intercept form is the easiest way to graph a line quickly because you can immediately see both the slope and the intercept.