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Which is an equation of 4 the line with a slope of 4 and a y-intercept of -3?

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.

Which is an equation of the line with a slope of 4 and a y-intercept of -3?

Learn how to find the equation of a line with a slope of 4 and a y-intercept of -3. This problem covers key algebra concepts like the slope-intercept form y = mx + b. Suitable for Grades 7-9 students.

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