How do you calculate the distance between the points P(2, 8) and Q(3, 8) to the nearest tenth?

To find the distance between two points in a two-dimensional space, you can use the distance formula, which is:

D = √((x2 - x1)² + (y2 - y1)²)

In this case, the coordinates for point P are (2, 8) and for point Q are (3, 8). We’ll denote:

• X1 = 2
• Y1 = 8
• X2 = 3
• Y2 = 8

Now, we can plug these values into the formula:

D = √((3 - 2)² + (8 - 8)²)

Calculating that step by step:

1. Calculate (X2 – X1): 3 – 2 = 1
2. Calculate (Y2 – Y1): 8 – 8 = 0
3. Now square the differences:
• (1)² = 1
• (0)² = 0
4. Add the squared differences together: 1 + 0 = 1
5. Finally, take the square root: √1 = 1

Therefore, the distance between the points P(2, 8) and Q(3, 8) is 1.0 units when rounded to the nearest tenth.