The equation of a line can be expressed in slope-intercept form:

$y = mx + b$

Where:

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

Given:

• Slope $m = \frac{3}{5}$
• $y$-intercept $(0, 4)$, so $b = 4$.

Substitute these values into the slope-intercept form:

$y = \frac{3}{5}x + 4$

Final Answer:

The equation of the line is:

$y = \frac{3}{5}x + 4$

Would you like further details or have any questions?

Here are 5 related questions for exploration:

1. How do you rewrite this equation in standard form?
2. What is the $x$-intercept of this line?
3. How would the line's graph look on a coordinate plane?
4. How does the slope of $\frac{3}{5}$ influence the line's steepness?
5. What is the equation of a line parallel to this line passing through $(2, 3)$?

Tip: The slope ($m$) represents how steep a line is; it measures the rise over run ($\Delta y / \Delta x$).