Finding Equation of a Line From Two Points Worksheet

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

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

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

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

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

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

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

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

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

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

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

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

Solution

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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