Find the Distance Between Two Points (-2,7) , (3,4)

Problem

(−2,7),(3,4)

Solution

1. Identify the coordinates of the two points as ((x_1),(y_1))=(−2,7) and ((x_2),(y_2))=(3,4)

2. State the distance formula used to find the length between two points in a Cartesian plane.

d=√(,((x_2)−(x_1))^2+((y_2)−(y_1))^2)

3. Substitute the given coordinates into the distance formula.

d=√(,(3−(−2))^2+(4−7)^2)

4. Simplify the expressions inside the parentheses.

d=√(,(5)^2+(−3)^2)

5. Square the terms and add them together.

d=√(,25+9)

d=√(,34)

Final Answer

d=√(,34)

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