FINDING EQUATION OF A LINE FROM TWO POINTS WORKSHEET

Question 1 :

Find the equation of the line which is passing through the points (1, 4)  and (3, -2).

(A) 3 x + y - 7 = 0 

(B) 2 x + y - 14 = 0 

(C) x - y - 7 = 0

Solution

Question 2 :

Find the equation of the line which is passing through the points (0, 4)  and (3, 1).

(A) x - 2y - 4 = 0 

(B) 2x - y - 14 = 0 

(C) x + y - 4 = 0

Solution

Question 3 :

Find the equation of the line which is passing through the points (3, 1)  and (-3, 2).  

(A) x + 6y - 9 = 0 

(B) x - 6y - 9 = 0 

(C) 2x + 6y + 9 = 0

Solution

Question 4 :

Find the equation of the line which is passing through the points (2, 6)  and (1, 2). 

(A) x + y + 4 = 0 

(B) 4x - y - 2 = 0 

(C) x + 2y + 9 = 0

Solution

Question 5 :

Find the equation of the line which is passing through the points (5, -5)  and (2, 7). 

(A) x - y + 5 = 0 

(B) 4 x + y - 15 = 0 

(C) 4 x + 2y - 15 = 0

Solution

Question 6 :

Find the equation of the line which is passing through the points (1, 3)  and (0, 7). 

(A) 4 x + y - 7 = 0 

(B) 4 x - y - 15 = 0 

(C) x + y - 15 = 0

Solution

Question 7 :

Find the equation of the line which is passing through the points (2, -8)  and (-5, 2). 

(A) 3 x + 4 y - 3 = 0 

(B) 2 x + 5y - 14 = 0 

(C) 10 x + 7y + 36 = 0

Solution

Question 8 :

Find the equation of the line which is passing through the points (3, 0)  and (4, -1). 

(A) x + y - 3 = 0 

(B) x - y + 3 = 0 

(C) x - y - 13 = 0

Solution

Question 9 :

Find the equation of the line which is passing through the points (-1, -5)  and (-3, -1).

(A) 3 x + y + 2 = 0

(B) 3 x - y - 2 = 0

(C) x - y + 2 = 0 

Solution

Question 10 :

Find the equation of the line which is passing through the points (0, -5)  and (4, -6). 

(A) x - 4y - 10 = 0 

(B) x + 4y + 20 = 0 

(C) x - 2y - 10 = 0

Solution

Question 11 :

Find the equation of the line which is passing through the points (4, -3)  and (0, -2). 

(A) x + 4y + 8 = 0 

(B) x - 4y - 8 = 0 

(C) x - 2y - 5 = 0

Solution

Question 12 :

Find the equation of the line which is passing through the points (2, -1)  and (-1, -7). 

(A) 3 x + y + 5 = 0

(B) x + y - 5 = 0 

(C) 2 x - y - 5 = 0

Solution

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