Question #6d8b6
2 Answers
Midpoint
Explanation:
The midpoint coordinates of a LINE which start (A = 1) and end (B = 2) points are:
Explanation:
#"there are 2 possible approaches"#
#color(blue)"Algebraic approach"#
#• "coordinates of midpoint "=1/2(x_A+x_B),1/2(y_A+y_B)#
#rArr(-3+x_B)/2=-1larrcolor(blue)"x-coord of midpoint"#
#rArr-3+x_B=-2#
#rArrx_B=-2+3=1#
#rArr(4+y_B)/2=2#
#rArr4+y_B=4#
#rArry_B=4-4=0#
#rArrB=(1,0)#
#color(blue)"Vector approach"#
#"since M is the midpoint of AB then"#
#vec(AM)=vec(MB)#
#rArrulm-ula=ulb-ulm#
#rArrulb=2ulm-ula#
#color(white)(rArrulb)=2((-1),(2))-((-3),(4))#
#color(white)(rArrulb)=((-2),(4))-((-3),(4))=((1),(0))#
#rArrB=(1,0)#