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The given image asks to find the equation of a line in slope-intercept form, which is \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept. The slope \( m \) is already given as \( -\frac{3}{4} \), so we need to find the y-intercept \( b \).

From the graph:

1. The slope is confirmed as \( -\frac{3}{4} \), indicating the line goes down 3 units for every 4 units it moves to the right.
2. The line crosses the y-axis at \( (0, 2) \).

Thus, the y-intercept \( b \) is 2. The full equation of the line is:
\[
y = -\frac{3}{4}x + 2
\]

Would you like further clarification or details?

Here are 5 related questions:
1. What is the general form of a linear equation?
2. How do you find the slope from a graph with two points?
3. What happens to the graph when the slope is positive?
4. How would the equation change if the y-intercept was negative?
5. Can you find the equation of a line parallel to the given one but with a different intercept?

**Tip:** In slope-intercept form \( y = mx + b \), the slope \( m \) controls the steepness, while \( b \) determines where the line crosses the y-axis.

Learn how to find the equation of a line from a graph using the slope-intercept form. In this problem, the slope is -3/4 and the y-intercept is 2. Suitable for students in Grades 6-8.

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