Question

Given point A (3, 8) and point B (-5, 1). Find the following: a.) The coordinates of the midpoint of segment AB. Write your answer in this form: (x, y) (7 points) b.) Using the distance formula, find the length of segment AB. Round to the nearest hundredth. (7 points) c.) Find the slope of segment AB. (if your answer is a fraction, use the "/" symbol) (7 points)

Answer 1

Answer:

Mid point:

$= ( \frac{3 + - 5}{2} , \: \frac{1 + 8}{2} ) \\ = ( - 1, \: 4.5)$

distance:

$= \sqrt{ {( - 5 - 3)}^{2} + {(1 - 8)}^{2} } \\ = \sqrt{64 + 49} \\ = \sqrt{113} \\ = 10.6 \: units$

slope:

$= \frac{1 - 8}{ - 5 - 3} \\ = \frac{ - 7}{ - 8} \\ = \frac{7}{8}$