The point A has coordinates (6,5) and the point B has coordinates (2,-1)

Question

Part A. find the coordinates of the midpoint AB,

Part B. Show that AB has length K(root)13, where k is an integer,

Part C.(i) Find the gradient of the line AB,

Part C.(ii) Hence, or otherwise, show that the line AB has equation 3x-2y=8,

Part D. The line AB intersects the line with equation 2x+y=10 at the point C. Find the coordinates of C,

Answer 1

2 points: (2,-1) & (6,5)

me assume yu want the strate line tween the 2 points

mid point: x=(2+60/2=8/2=4 ; y=(5-1)/2=4/2=2.....point=(4,2)

line leng: deltax=4, deltay=6, leng=sqrt(16+36)=sqrt(52)=7.211102551

slope=deltay/deltax=6/4=3/2=1.5