## FINDING EQUATION OF A LINE FROM TWO POINTS WORKSHEET

Finding Equation of a Line From Two Points Worksheet :

Here we are going to see some practice problems on finding equation of the line from given points.

The equation of a straight line is satisfied by the co-ordinates of every point lying on the straight line and not by any other point outside the straight line.

Equation of a line using two points on the line :

(y - y₁)/(y₂ - y₁) = (x - x₁)/(x₂ - x₁)

Here (x₁,y₁) and (x₂,y₂) are the points on the line.

If we have any two points on the line, we can use this formula to find the equation.

## Practice Problems for Finding the Equation of a Line Using Two Points

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

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

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

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

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

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

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

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

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

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

After having gone through the stuff given above, we hope that the students would have understood, Finding Equation of a Line From Two Points Worksheet.

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