Question

What is the length of line segment FE?

Answer 1

The distance between two points (x₁,y₁),(x₂,y₂) = d
$d = \sqrt{ (x2-x1)^{2} + (y2-y1)^{2} }$

The coordinates of point F = (-2,4)
The coordinates of point E = (-7,0)

the length of line segment FE = $\sqrt{ (-7-(-2))^{2} + (0-4)^{2} }$
                                                = √41
                                                ≈ 6.4 (rounded to the nearest tenth)