Find the distance between the points on the graph. Round your answer to the tenths place.

Steps to Solve

1. Identify the coordinates of the points
   From the graph, determine the coordinates of the two points. Assuming the points are at ((x_1, y_1)) and ((x_2, y_2)):

• The first point is at ((2, 3))
• The second point is at ((-1, 1))

2. Use the distance formula
   The distance (d) between two points ((x_1, y_1)) and ((x_2, y_2)) is calculated using the formula:
   $$ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} $$

3. Substitute the coordinates into the formula
   Now substitute the values of the points into the formula:
   $$ d = \sqrt{((-1) - 2)^2 + (1 - 3)^2} $$

4. Calculate the differences and squares
   Calculate the differences and their squares:

• (x_2 - x_1 = -1 - 2 = -3)
• (y_2 - y_1 = 1 - 3 = -2)
  So,
  $$ d = \sqrt{(-3)^2 + (-2)^2} $$ $$ d = \sqrt{9 + 4} $$

5. Simplify the square root
   Now simplify the expression inside the square root:
   $$ d = \sqrt{13} $$

6. Calculate the distance and round to the nearest tenth
   Using a calculator, find the value of (\sqrt{13}):
   $$ d \approx 3.60555 $$
   Rounding this value to the nearest tenth gives:
   $$ d \approx 3.6 $$