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    ​Find the equation of the straight line passing through the points (0, 2) and (1, – 3).​
    Question

    Find the equation of the straight line passing through the points (0, 2) and (1, – 3).

    A.

    2x3y3=02x - 3y - 3 = 0 ​​

    B.

    5x+y2=05x + y - 2 = 0 ​​

    C.

    5x+y+2=05x + y + 2 = 0 ​​

    D.

    2x+3y+3=02x + 3y + 3 = 0 ​​

    Correct option is B

    Given:

    (x1,y1)(x2,y2)

    (0,2)(1,-3)

    Formula Used: 

    Y-Y1=m(X-X1)

    m= Y2Y1X2X1\frac{Y_2-Y_1}{X_2-X_1}​​

    Solution:

    m= (32)(10)\frac{(-3-2)}{(1-0)}​​

    m =(5)(1)\frac{(-5)}{(1)}​  , m= -5

    y-2= -5(x-0)

    y - 2 +5x = 0 

    5x+y -2  = 0 

    Option (b)

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