# Two Point Form Question9

In this page two point form question9 we are going to see some practice questions in the form of quiz.We have several ways to find the equation.We have shown four ways.A linear equation or an equation of the first degree in x and y represents a straight line.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.

Two point form:

(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.

Question 1 :  two point form question9

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

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

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). two point form question9

Solution:

Here (x₁,y₁) = (-1,-5) and (x₂,y₂) = (-3,-1)

Equation of a line:

(y-y)/(y₂-y) = (x-x)/(x₂-x)

(y-(-5))/(-1-(-5)) =  (x-(-1))/(-3-(-1))

(y+5)/(-6) =   (x+1)/(-3+1)

(y+5)/(-6) =   (x+1)/(-2)

-2(y+5) = -6(x+1)

-2y - 10 = -6 x - 6

6 x - 2 y - 10 + 6 = 0

6 x - 2 y - 4 = 0

÷ by 2 =>             3 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

Two Point Form Question9 to Analytical Geometry