To find the equation of the line with a slope of 4 and a y-intercept of -3, we can use the slope-intercept form of a line equation:

$y = mx + b$

where:

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

Given:

• Slope $m = 4$,
• Y-intercept $b = -3$,

The equation of the line is:

$y = 4x - 3$

Looking at the options in the image, the correct equation is:

$\boxed{y = 4x - 3}$

Let me know if you'd like more details, or if you have further questions!

Here are five related questions to expand understanding:

1. What is the general formula for the slope-intercept form of a line?
2. How do you calculate the slope if given two points on a line?
3. What happens to the graph of a line when the slope increases or decreases?
4. How can you determine the y-intercept from a graph?
5. How would the equation change if the y-intercept were positive instead of negative?

Tip: Always match the slope and y-intercept to the correct components in the equation to quickly identify the correct form.