Question

(-4,1) and (2,-3) find length and midpoint of segment

Answer 1

Step-by-step explanation:

the length is calculated via Pythagoras, as the coordinate differences and the direct connection (as the Hypotenuse) between both points create a right-angled triangle.

length² = (-4 - 2)² + (1 - -3)² = (-6)² + 4² = 36 + 16 = 52

length = sqrt(52) = sqrt(4×13) = 2×sqrt(13)

the midpoint is simply ((x1+x2)/2, (y1+y2)/2)

so,

(-4 + 2)/2 = -2/2 = -1

(1 + -3)/2 = -2/2 = -1

therefore, the midpoint is (-1, -1)