Using slope-intercept form, write an equation representing the line that has a slope of 3 and a y-intercept of (0, 5).

The slope-intercept form of a linear equation is given by:

\[
y = mx + b
\]

where:
- \( m \) is the slope of the line,
- \( b \) is the y-intercept, which is the point where the line crosses the y-axis.

Given:
- Slope \( m = 3 \),
- Y-intercept \( b = 5 \) (from the point \( (0, 5) \)).

Substitute these values into the slope-intercept equation:

\[
y = 3x + 5
\]

### Final Answer:
The equation of the line is:

\[
y = 3x + 5
\]

Would you like more details or have any questions?

Here are 8 related questions you might consider:
1. How do you find the slope of a line given two points?
2. What is the equation of a line with a slope of -2 and a y-intercept of 3?
3. How do you convert a standard form equation to slope-intercept form?
4. What is the significance of the slope in the context of a graph?
5. How do you find the equation of a line parallel to \( y = 3x + 5 \)?
6. How do you find the equation of a line perpendicular to \( y = 3x + 5 \)?
7. What is the slope-intercept form for a horizontal line?
8. How does the y-intercept change if the line passes through the origin?

**Tip:** When identifying the equation of a line, always pay attention to the slope and y-intercept as they directly determine the line's behavior and position on the graph.

Learn how to write the equation of a line using slope-intercept form with a slope of 3 and a y-intercept of 5. This problem covers fundamental concepts in linear equations, including slope, y-intercept, and the slope-intercept form formula. Suitable for students in Grades 7-9.

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