Question

A line segment has an endpoint at (-7, 11) and (-6, 4), what is the length of
the segment?

Answer 1

d = 5√2 units

Explanation:

Let's use the distance formula: d = √[(x₂ - x₁)² + (y₂ - y₁)²]

Plug in the values with your endpoints.

d = √[(-6 - (-7))² + (4 - 11)²]

Solve within the parentheses.

d = √[(1)² + (-7)²]

Solve the exponents.

d = √[1 + 49]

Solve within the brackets.

d = √50

Simplify the square root.

25 • 2 = 50

√25 • √2 = √50

5 • √2 = √50

d = 5√2 units

Hope this helps!