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The problem you uploaded shows an equation \( y = -4x - 3 \) and multiple graphs (A, B, C, D) with corresponding sets of points. Your task seems to be to identify which graph corresponds to the given linear equation by checking the slope and y-intercept.

The equation \( y = -4x - 3 \) is in slope-intercept form \( y = mx + b \), where:
- The slope \( m \) is \( -4 \).
- The y-intercept \( b \) is \( -3 \) (the point where the line crosses the y-axis, i.e., \( (0, -3) \)).

### Analyzing the equation:
- The slope \( -4 \) means for every increase of 1 unit in \( x \), \( y \) decreases by 4 units.
- The line crosses the y-axis at \( (0, -3) \).

### Let's evaluate each graph:
- **Graph A** passes through \( (0, -3) \), which matches the y-intercept.
- We can check if the slope matches by examining the rise/run between points. If we move from \( (0, -3) \) to another point like \( (1, -7) \), the change in \( y \) is \( -7 - (-3) = -4 \), and the change in \( x \) is \( 1 - 0 = 1 \). The slope is indeed \( \frac{-4}{1} = -4 \).

Thus, **Graph A** matches the equation \( y = -4x - 3 \).

Would you like more details or have further questions?

Here are 5 related questions:
1. What does the slope represent in a linear equation?
2. How do you determine the slope from a graph?
3. What is the significance of the y-intercept?
4. Can you find the equation of a line given two points on the line?
5. How do parallel and perpendicular lines relate to their slopes?

**Tip:** Always verify both the slope and y-intercept when matching equations to graphs.

Identify the graph that corresponds to the equation y = -4x - 3 from the given options.

Learn how to identify the correct graph for the linear equation y = -4x - 3. Understand how the slope and y-intercept determine the position and angle of the line in this algebra problem. Suitable for students in Grades 8-10.

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