Answer:
7. The midpoint of the line segment AB is (2, 7/2) = (2, 3.5)
8. The slope of the line containing (6,3) and (4,-1) is 2
Explanation:
7. A=(5,3)=(xa, ya)→xa=5, ya=3
B=(-1,4)=(xb, yb)→xb=-1, yb=4
Midpoint of the line segment AB: M=(xm, ym)=?
xm=(xa+xb)/2
xm=(5+(-1))/2
xm=(5-1)/2
xm=4/2
xm=2
ym=(ya+yb)/2
ym=(3+4)/4
ym=7/2
Midpoint of the line segment AB: M=(xm, ym)→M=(2, 7/2)=(2, 3.5)
8. Slope: m=?
P1=(6, 3)=(x1, y1)→x1=6, y1=3
P2=(4, -1)=(x2, y2)→x2=4, y2=-1
m=(y2-y1)/(x2-x1)
m=(-1-3)/(4-6)
m=(-4)/(-2)
m=2