Question

Themidpointofalinesegmentis(-4,-2). If(-6,4)isoneendthentheotherendi
(2,8)

Answer 1

Step-by-step explanation:

midpoint of line segment = (-4, -2)

one end of line segment = (-6, 4)

$( \frac{x1 + x2}{2} \: \: \: \frac{y1 + y2}{2} ) = ( - 4 \: \: - 2)\\ ( \frac{ - 6 + x2}{2} \: \: \: \frac{ - 2 + y2}{2} ) = ( - 4 \: \: \: - 2) \\ \frac{ - 6 + x2}{2} = - 4 \: \: \: \: \frac{ - 2 + y2}{2} = - 2 \\ - 6 + x2 = - 4 \times 2 \: \: \: -2 + y2 = - 2 \times 2 \\ x2 = - 8 + 6 \: \: \: \: y2 = - 4 + 2 \\ x2 = - 2 \: \: \: \: y2 = - 2$

therefore the other end of line segment = (-2, -2)

Hope you get your answer