problems 1–6: here is a coordinate plane
1. write the coordinates of each point in the table.
table: point (v, w, x, y, z); coordinates (handwritten: 3,2; -1,4; -4,4; 3,-3; -5,0)
2. plot and label point a at (-2, 1)
3. plot and label point p at (1, -2)
4. plot two points that are each 2 units away from point v. label each point with its coordinates.
5. point q is more than 3 units directly to the left of point y. write at least one thing you know about the coordinates of point q
6. draw the first letter of your name on the coordinate plane so that at least part of your drawing is in each quadrant.
two coordinate plane images: one with points v, w, x, y, z; another for problem 6

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Accepted Answer

### Problem 1: Write the coordinates of each point # Explanation: ## Step 1: Determine coordinates of V From the graph, point V is 4 units right on x - axis and 2 units up on y - axis. So coordinates of V are $(4, 2)$. ## Step 2: Determine coordinates of W Point W is 2 units left on x - axis (since x=- 2) and 4 units up on y - axis. So coordinates of W are $(-2, 4)$. ## Step 3: Determine coordinates of X Point X is 5 units left on x - axis (x = - 5) and 5 units down on y - axis (y=-5). So coordinates of X are $(-5, - 5)$. ## Step 4: Determine coordinates of Y Point Y is 3 units right on x - axis (x = 3) and 3 units down on y - axis (y=-3). So coordinates of Y are $(3, - 3)$. ## Step 5: Determine coordinates of Z Point Z is 5 units left on x - axis (x=-5) and on y - axis (y = 0). So coordinates of Z are $(-5, 0)$. # Answer: | Point | Coordinates | |-------|-------------| | V | (4, 2) | | W | (-2, 4) | | X | (-5, -5) | | Y | (3, -3) | | Z | (-5, 0) | ### Problem 2: Plot and label point A at (-2, 1) # Explanation: ## Step 1: Locate x - coordinate For point A(-2, 1), the x - coordinate is - 2. So move 2 units to the left of the origin (0,0) along the x - axis. ## Step 2: Locate y - coordinate The y - coordinate is 1. Move 1 unit up from the x=-2 position along the y - axis. Then label the point as A. # Answer: Point A is plotted 2 units left on x - axis and 1 unit up on y - axis. ### Problem 3: Plot and label point P at (1, -2) # Explanation: ## Step 1: Locate x - coordinate For point P(1, - 2), the x - coordinate is 1. Move 1 unit to the right of the origin along the x - axis. ## Step 2: Locate y - coordinate The y - coordinate is - 2. Move 2 units down from the x = 1 position along the y - axis. Then label the point as P. # Answer: Point P is plotted 1 unit right on x - axis and 2 units down on y - axis. ### Problem 4: Plot two points that are each 2 units away from point V(4, 2) # Explanation: ## Step 1: Point 1 (horizontal movement) If we move 2 units to the right along the x - axis from V(4, 2), the new x - coordinate is $4 + 2=6$ and y - coordinate remains 2. So the point is (6, 2). ## Step 2: Point 2 (vertical movement) If we move 2 units up along the y - axis from V(4, 2), the new y - coordinate is $2+2 = 4$ and x - coordinate remains 4. So the point is (4, 4). # Answer: Two points are (6, 2) and (4, 4) (other valid points like (2, 2) or (4, 0) are also correct). ### Problem 5: Point Q is more than 3 units directly to the left of point Y(3, -3) # Explanation: ## Step 1: Analyze x - coordinate change When moving left, the x - coordinate decreases. For point Y(3, - 3), if we move 3 units left, the new x - coordinate is $3-3 = 0$. Since Q is more than 3 units left, the x - coordinate of Q will be less than 0 (i.e., $x_Q<0$). The y - coordinate of Q will be the same as that of Y because it is a direct left - right movement, so $y_Q=-3$. # Answer: The y - coordinate of Q is - 3 and the x - coordinate of Q is less than 0 (e.g., if we move 4 units left, Q can be (-1, - 3)). ### Problem 6: Draw the first letter of your name on the coordinate plane so that at least part of your drawing is in each quadrant # Explanation: ## Step 1: Choose a letter (e.g., 'A') - For quadrant I (x>0, y>0): Draw the top part of the 'A' with a point like (2, 4). - For quadrant II (x<0, y>0): Draw the left side of the 'A' with a point like (-2, 4). - For quadrant III (x<0, y<0): Draw the bottom left part of the 'A' with a point like (-1, - 2). - For quadrant IV (x>0, y<0): Draw the bottom right part of the 'A' with a point like (1, - 2). # Answer: (The drawing will vary based on the letter, but the key is to have parts in all four quadrants. For example, for letter 'A', the vertices can be placed in different quadrants as described above.)

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QUESTION IMAGE

Question

Explanation:

Problem 1: Write the coordinates of each point

Step 1: Determine coordinates of V

Step 2: Determine coordinates of W

Step 3: Determine coordinates of X

Step 4: Determine coordinates of Y

Step 5: Determine coordinates of Z

Step 1: Locate x - coordinate

Step 2: Locate y - coordinate

Step 1: Locate x - coordinate

Step 2: Locate y - coordinate

Answer:

Problem 2: Plot and label point A at (-2, 1)