https://file.aiquickdraw.com/mathbot/file/1727220296214nc5tl0of.jpg

The image shows the slope-intercept form of a linear equation. It contains the following key information:

- The slope (m) of the line is \(-\frac{3}{4}\).
- A point on the line is \((0, 4)\), which suggests that this is the y-intercept of the line.

The equation of the line in slope-intercept form is given by:

\[
y = mx + b
\]

Here:
- \( m = -\frac{3}{4} \) is the slope.
- \( b = 4 \) is the y-intercept (from the point \( (0, 4) \)).

Thus, the equation of the line is:

\[
y = -\frac{3}{4}x + 4
\]

Would you like more details, or do you have any questions about this?

Here are five related questions for further exploration:
1. How do you find the equation of a line given two points?
2. What is the significance of the slope in a linear equation?
3. How can you convert a slope-intercept equation to standard form?
4. How do you interpret the slope when it's negative, as in this case?
5. How can you graph this line based on the slope and y-intercept?

**Tip:** To quickly identify the slope of a line, remember that it represents the change in \(y\) for every unit change in \(x\).

Find the equation of a line given the slope -3/4 and a point (0, 4).

This problem focuses on finding the linear equation of a line with a slope of -3/4 and y-intercept at (0, 4). Learn how to apply the slope-intercept form to derive the equation step-by-step. Ideal for students in Grades 8-10.

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