Using Pythagorean Theorem, the length of the line segment from (-3, 10) to (4, -1) is 13 units.
Pythagorean theorem describes the relationship between the sides of a right triangle. It states that the square of the hypotenuse is equal to the sum of the squares of the two other side.
c² = a² + b²
Let a = vertical distance between the two points
b = horizontal distance between the two points
c = distance between the two points / length of line segment
Hence, c² = (|y₂ - y₁|)² + (|x₂ - x₁|)².
Substitute the values of x and y and solve for c.
c² = (|y₂ - y₁|)² + (|x₂ - x₁|)²
c² = (|-1 - 10|)² + (|4 - -3|)²
c² = (|-11|)² + (|7|)²
c² = 11² + 7²
c² = 121 + 49
c² = 170
c = 13.04
length of line segment ≅ 13 units
Learn more about Pythagorean theorem here: brainly.com/question/9125970
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