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The point A (1,1) and the point B(5,-1) lie on the line L. Find the equation of the line L

User Corliss
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1 Answer

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Answer is y = -1/2x + 1-1/2 for equation of line L

Step by step

Find slope using y2 - y1 over x2 - x1

-1 - 1 over 5 - 1 = -2/4 or simplified to -1/2

Now using point slope form, plug in one set of points (1, 1) and (m) slope of -1/2
y - y1 = m (x -x1)

y - 1 = -1/2 (x - 1)
Distribute multiply

y - 1 = -1/2x + 1/2
Add 1 to each side to isolate y

y -1 +1 = -1/2x + 1/2 + 1
Simplify

y = -1/2x + 1-1/2

That’s your equation of line L

You could also graph the two points and draw your line. Your slope is -1/2 (rise is -1 down, run is +2 right) and your y intercept is 1-1/2 where the line crosses the y axis.
The point A (1,1) and the point B(5,-1) lie on the line L. Find the equation of the-example-1
User Ori Wasserman
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7.7k points