Question

3 which quadrant contains the point (-4, -1)?
3
2
4
1

1. the location of a sailboat on a lake is shown on the coordinate plane below

Explanation:

Question 3

Step1: Recall Quadrant Rules

In a coordinate plane, quadrants are determined by the signs of \( x \) and \( y \) coordinates:

• Quadrant 1: \( (+, +) \)
• Quadrant 2: \( (-, +) \)
• Quadrant 3: \( (-, -) \)
• Quadrant 4: \( (+, -) \)

Step2: Analyze Point \((-4, -1)\)

For the point \((-4, -1)\), the \( x \)-coordinate (\(-4\)) is negative, and the \( y \)-coordinate (\(-1\)) is negative. This matches the sign pattern of Quadrant 3.

Step1: Identify Grid Intersections

The coordinate plane has a grid. The sailboat is at the intersection where the \( x \)-coordinate (horizontal) and \( y \)-coordinate (vertical) are determined by counting grid lines.

Step2: Determine Coordinates

From the origin (\( (0,0) \)):

• Move right (positive \( x \)): Count the columns. The sailboat is in a column where \( x \) is, say, 8 (assuming standard grid counting, but visually, from the graph, the sailboat is at \( x \approx 8 \), \( y = 5 \))? Wait, looking at the graph, the sailboat is at \( (8, 5) \)? Wait, no—let's recheck. Wait, the \( y \)-axis is vertical (up/down), \( x \)-axis horizontal (left/right). The sailboat is at \( y = 5 \), and counting \( x \)-coordinates: from the left, each grid line is 1 unit. Let's see the sailboat’s position: horizontally, if the first column (leftmost) is \( x = 1 \), but maybe the origin is at the bottom-left corner (0,0). Wait, the \( y \)-axis starts at 1 (bottom) up to 10 (top). Wait, no—standard coordinate planes have \( y=0 \) at the bottom, but here the graph labels \( y \) from 1 to 10. Wait, maybe the coordinates are \( (x, y) \) where \( x \) is the column (starting at 1) and \( y \) is the row (starting at 1). The sailboat is in the column (x) where, say, the 8th column (if leftmost is column 1) and row (y) 5. So coordinates \( (8, 5) \)? Or maybe \( x \) is 7, \( y \) is 5? Wait, visually, the sailboat is at \( y = 5 \), and horizontally, looking at the grid, the sailboat is in the column where \( x \) is 8 (if the leftmost vertical line is \( x=1 \)). Alternatively, maybe the coordinates are \( (7, 5) \) or \( (8, 5) \). Wait, the graph shows the sailboat at \( y = 5 \), and horizontally, let's count: from the left, the first vertical line (after y-axis) is \( x=1 \), then \( x=2 \), ..., up to where the sailboat is. Let's see the shaded region: the sailboat is on the right side of the shaded area. Let's assume the coordinates are \( (8, 5) \) (since it's in the 8th column, 5th row from the bottom).

Answer:

3 (assuming the first option labeled "3" corresponds to Quadrant 3)

Question 4 (Assuming the question is about the sailboat’s coordinates or position, e.g., "What are the coordinates of the sailboat?")