Final answer:
The distance between the points P(-5,7) and Q(-1,3) is approximately 5.66 units.
Step-by-step explanation:
To find the distance between two points in a 2D plane, we can use the distance formula. Given the coordinates of point P(-5,7) and point Q(-1,3), we can apply the formula: d = √((x₂ - x₁)² + (y₂ - y₁)²).
Plugging in the values, we get: d = √((-1 - (-5))² + (3 - 7)²). Simplifying this, we have: d = √(4² + (-4)²). Further simplifying, we get: d = √(16 + 16). Finally, we can calculate the square root to find the distance between the points which is d = √(32) or approximately d = 5.66 units.
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