Find the Distance Between Two Points (-2,6) , (-6,3)

Problem

(−2,6),(−6,3)

Solution

1. Identify the coordinates of the two points as ((x_1),(y_1))=(−2,6) and ((x_2),(y_2))=(−6,3)

2. Apply the distance formula which is d=√(,((x_2)−(x_1))2+((y_2)−(y_1))2)

3. Substitute the values into the formula.

d=√(,(−6−(−2))2+(3−6)2)

4. Simplify the expressions inside the parentheses.

d=√(,(−4)2+(−3)2)

5. Square the terms.

d=√(,16+9)

6. Add the numbers inside the square root.

d=√(,25)

7. Evaluate the square root.

d=5

Final Answer

d=5

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