Answer:x+2y=6
Step-by-step explanation: Given points: (4,1) and (-4,5)
To find equation we need a slope and a point through which the line passes.
slope = (y1-y2)/(x1-x2)
= 1-5/4-(-4)
= -4/8
= -1/2
let the first point be the passing point,
eq. of a line: (y-y1)=slope(x-x1)
=(y-1)=-1/2(x-4)
=2y-2=-x+4
=x+2y=6
