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The equation of the line passing through (1,-11) and \((-4,8)\) can be expressed in the form x / a + y / b = 1 Find a.

 Mar 6, 2022
 #1
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Slope =   (y1-y2) / (x1-x2)  = -19/5

 

y = -19/5 x + b    sub in either point to find   b  =  - 36/5  

 

y = -19/5 x - 36/5          now multiply through by 5

5y + 19x = -36              now divide through by -36   to finish

 

    x / ( -19/36)    +   y / ( -36/5)    = 1  

 Mar 6, 2022

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