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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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