Question

locate and name the point at the

1. (3, 15)
2. (20, 13)

plot each point on the line plot

1. n (6, 19)
2. o (18,

answer the following questions

1. which point shares the
2. which point shares the

Explanation:

Question 11: Locate the point at (3, 15)

Step 1: Understand the coordinate system

In a coordinate system, the first number is the x - coordinate (horizontal axis) and the second number is the y - coordinate (vertical axis). So for the point (3, 15), we look for x = 3 (horizontal position) and y = 15 (vertical position).

Step 2: Identify the point

Looking at the grid, when x = 3 (around the column near x = 2 - 4) and y = 15 (between y = 14 - 16), the point is labeled C? Wait, no, let's re - check. Wait, the x - axis is from 0 to 20, y - axis from 0 to 18. Wait, the point with x≈3 and y = 15. Looking at the grid, the point C: let's check the coordinates. Wait, the point at x = 3 (approx) and y = 15. Wait, the point labeled C: let's see the grid. The x - coordinate for C: looking at the columns, x = 3 (since the first column is x = 0, then x = 2, x = 4, etc. Wait, maybe the x - axis is in units where each grid line is 2? No, the x - axis labels are 0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20. So the x - coordinate of a point is determined by the column. For x = 3, it's between x = 2 and x = 4. The y - coordinate of 15 is between y = 14 and y = 16. Looking at the points, the point with y = 15 (close to 14 - 16) and x around 3: the point labeled C? Wait, no, the point at (3, 15) is C? Wait, the point C is at x≈3 (since x = 2 is the second column, x = 4 is the fourth). Wait, maybe the x - coordinate is the horizontal position, so (3, 15) corresponds to point C? Wait, let's check the given points. The point C: let's see its coordinates. If we assume that the x - axis is the horizontal line (bottom) and y - axis vertical (left). So for (3, 15), x = 3 (horizontal), y = 15 (vertical). Looking at the grid, the point with y = 15 (between 14 and 16) and x = 3 (between 2 and 4) is point C? Wait, maybe I made a mistake. Wait, the point at (3, 15): let's check the y - axis. The y - axis has labels 0, 2, 4, 6, 8, 10, 12, 14, 16, 18. Wait, 15 is between 14 and 16. The x - axis: 0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20. So x = 3 is between x = 2 and x = 4. The point with y = 15 (so y - coordinate 15) and x = 3: the point labeled C. Yes, so the point at (3, 15) is C.

Step 3: Confirm

So by matching the x and y coordinates, the point at (3, 15) is C? Wait, no, maybe I messed up. Wait, the point B is at (2, 10), point F at (0, 7), point A at (10, 10), point D at (16, 10), point K at (20, 12), point I at (10, 16), point L at (7, 8), point M at (12, 6), point H at (10, 2), point J at (16, 2). Wait, the point with y = 15: let's see the y - axis. The y - values: 0, 2, 4, 6, 8, 10, 12, 14, 16, 18. So 15 is between 14 and 16. The points with y between 14 and 16: point at x = 2 (y = 18? No, the top point is at x = 2, y = 18), then x = 3 (y = 15? Wait, the point at x = 2, y = 18 (let's call it G? Wait, the first point at x = 2, y = 18 (top left), then x = 2, y = 10 (point B), x = 10, y = 10 (point A), x = 16, y = 10 (point D), x = 20, y = 12 (point K). The point with y = 15: x = 3 (between x = 2 and x = 4). So the point is C. So (3, 15) is point C.

Question 12: Locate the point at (20, 13)

Step 1: Understand coordinates

For (20, 13), x = 20 (rightmost column), y = 13 (between 12 and 14).

Step 2: Identify the point

Looking at the grid, the rightmost column (x = 20) and y = 13 (close to 12 - 14). The point at x = 20, y = 13 is point K? Wait, point K is at x = 20, y = 12? Wait, no, y = 13 is between 12 and 14. Wait, point K is at (20, 12)? Wait, the y - axis label for 12 is there. Wait, (20, 13): x = 20, y = 13. So the point at x = 20 (last column) and y = 13 (between 12 and 14) is point K? Wait, maybe the y - coordinate of K is 12. Wait, maybe I made a mistake. Wait, the point K is at x = 20, y = 12. Then (20, 13) is a new point? No, the given points: point K is at (20, 12). Wait, maybe the problem has a typo, but according to the grid, the point at x = 20, y = 13 is point K? Wait, no, y = 12 is the label for K. Wait, maybe the y - axis is in increments of 2? No, the y - axis labels are 0, 2, 4, 6, 8, 10, 12, 14, 16, 18. So y = 13 is between 12 and 14. The point at x = 20, y = 13 is point K (since K is at x = 20, y≈12 - 13).

Question 15: Plot point N (6, 19)

Step 1: Check the coordinate system limits

The y - axis in the grid goes up to 18 (since the top y - label is 18). So y = 19 is outside the y - axis range of the given grid (which has y from 0 to 18). So we can't plot it on the given grid as the y - axis only goes up to 18. But if we assume that there is an extension, x = 6 (column at x = 6, which is the column labeled 6 on the x - axis) and y = 19 (above y = 18).

Question 16: (The question is incomplete, so we can't answer it fully)

Question 19 and 20: (The questions are incomplete, so we can't answer them fully)

Answer:

s:

1. (3, 15) is point C.
2. (20, 13) is point K (approx, considering the grid).
3. Point N (6, 19) cannot be plotted on the given grid as y = 19 exceeds the y - axis limit (up to 18). For a hypothetical plot, x = 6 (column at x = 6) and y = 19 (above the top of the grid).
4. (Incomplete, no answer)
5. (Incomplete, no answer)
6. (Incomplete, no answer)