Question

What passes through the points (-1/2 4) and (1/2 6). show your work​

Answer 1

Explanation:

The equation of line which passes through these points is determined by:

p(x1,y1)=(-1/2,4) p(x2,y2)=(1/2,6)

`(y - y1)/(y2 - y1) = (x - x1)/(x2 - x1) \\ (y - 4)/(6 - 4) = (x + ( 1)/(2) )/( (1)/(2) + (1)/(2) ) \\ (y - 4)/(2) = (2x + 1)/(2) \\ 2(2x + 1) = 2(y - 4) \\ 4x + 2 = 2y - 8 \\ 4x - 2y + 2 + 8 = 0 \\ 4x - 2y + 10 = 0`

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