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11 votes
What is an equation of the line that passes through the points (2,5) and (8, 2)?

User Zoom
by
2.3k points

1 Answer

23 votes
23 votes

In order to determine the equation of the line, use the following general expression for the equation:

y - yo = m(x - xo)

where m is the slope of the line and (xo,yo) is any point of the line.

To calculate m use the following espression:

m = (y2 - y1)/(x2 - x1)

where, for this case (x1,y1) = (2,5) and (x2,y2) = (8,2):

m = (2 - 5)/(8 - 2) = -3/(6)

m = -1/2

next, replace m and (xo,yo) = (2,5) into the general expression, and solve for y, as follow:

y - 5 = -1/2(x - 2)

y - 5 = -1/2x + 1

y = -1/2 x + 6 this is the euqation of the line

User Stavros Zotalis
by
3.2k points
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