Find the distance between the 2 points: (-5,3) and (-2,-3)

Question

This is for school please help and show work

Answer 1

Hello, Bob J.,

This can be determined by imagining the points on a graph of the line and then drawing a right triangle. I marked the two points on a graph and drew a right triangle as shown below:

We can calculate lines A and B with the data. Line A's length is (-2 -(-5)) = 3. Line B is 3-(-3) = 6. Now you can calculate the hypotenuse (H) by A² + B² = H², or 3² + 6² = H². H² = 45 , H = 6.071 Bob

Answer 2

Find the distance between the 2 points: (-5,3) and (-2,-3)

============Use the Distance Formula shown below =============

The distance (d) between the points (x₁, y₁) and (x₂, y₂) is given by the following formula:

d=√(x₂ - x₁ )² + (y₂ - y₁)²

d = √ (-2-(-5))² + (-3-3)² =√(3)² +(-6)² = √9 + 36 = √45 = 3√5 approximately 6.7802