Question

find the distance between point a and point b. distance:

Explanation:

Step1: Identify coordinates of A and B

Point A: Let's find its x and y. From the graph, A is at x = -3, y = -6 (wait, no, looking at the y-axis, the lower part: A and B are at the same y-level? Wait, no, the y-coordinate: looking at the points, A is at x = -3, y = -6? Wait, no, the grid: let's check the x-axis. The x-axis has marks: -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8. The y-axis: upper is positive, lower is negative. Point A: x-coordinate is -3 (since it's 3 units left of origin), y-coordinate: looking at the vertical line, the point is at y = -6? Wait, no, the points A and B are at the same y-level (horizontal line), so their y-coordinates are equal. So the distance between them is the absolute difference of x-coordinates.

Point A: x = -3, y = -6 (wait, no, the y-axis: the lower marks are -1, -2, -3, -4, -5, -6, -7, -8? Wait, the graph: the y-axis has positive numbers up (8,7,6,5,4,3,2,1) and negative down ( -1, -2, -3, -4, -5, -6, -7, -8). So point A is at x = -3, y = -6? Wait, no, the dots: A is at x = -3 (since from origin, left 3 units), and B is at x = 2 (right 2 units), and same y (since they are on the same horizontal line, so y-coordinate is same, say y = -6? Wait, no, the vertical position: the points are at the level of y = -6? Wait, the y-axis labels: above origin: 1,2,3,4,5,6,7,8; below: -1, -2, -3, -4, -5, -6, -7, -8. So the dots A and B are at y = -6? Wait, no, the labels: A is at x = -3, y = -6? B is at x = 2, y = -6? Wait, no, the x-axis: A is at x = -3 (since between -4 and -2, at -3), B is at x = 2 (between 1 and 3, at 2). So same y, so distance is |x_B - x_A| = |2 - (-3)| = |5| = 5. Wait, but let's check the grid. The x-axis: from -3 to 2: how many units? From -3 to 0 is 3, 0 to 2 is 2, total 5. So distance is 5.

Step2: Calculate the distance

Since A and B have the same y-coordinate, the distance is the absolute difference of x-coordinates. Let’s find x-coordinates: A is at x = -3, B is at x = 2. So distance = |2 - (-3)| = |2 + 3| = 5.

Answer:

5