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

1 Answer

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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

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