Question

Find the distance between the two points rounding to the nearest tenth (if necessary).

(2, -1) and (6, 3)

Answer 1

The distance between the two points is 5.7

Problem Solving Strategy: To find the distance between two points, apply the distance formula:

• 
  `$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2`

Step 1: Assign values to each of the variables in the formula based on the given points.

• 
  `$x_2=6, \:x_1=1, \:y_2=3, \:y_1=-1`

Step 2: Plug the values into the distance formula and simplify.

• 
  `$d=\sqrt{(6-1)^2+(3-(-1))^2$`
• 
  `$=√(4^2+4^2)=√(32)\approx\textbf5.7`

Solution: The distance between the two points is 5.7 units.