Question

State the equation of a line going through the points (4,1) and (-4,5).

Answer 1

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