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An straight line passes through points (2,4) and (-1,-5). What is its equation.

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roshan-rox | Valedictorian

Posted June 17, 2013 at 1:27 PM via web

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An straight line passes through points (2,4) and (-1,-5). What is its equation.

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jeew-m | College Teacher | (Level 1) Educator Emeritus

Posted June 17, 2013 at 1:31 PM (Answer #1)

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The equation of the line that passes through the points can be given as y = mx+c.

gradient(m) `= (4-(-5))/(2-(-1)) = 9/3 = 3`

 

So the equation of the line will be `y = 3x+c.`

This line passes through point (2,4).

`4 = 3xx2+c`

`c = -2`

 

So the equation of the line is `y = 3x-2` .

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