Question

C)
Use graph paper for this question. Draw the graph of 3x - 2y + 4 = 0
and x + y + 3 = 0 on the same a graph by ploting 3 points per line.
Write down the co-ordinates of the point of intersection of the two
lines. Also find the area of the triangle formed by the line and the y-axis​

Answer 1

Answer:

It is given

 3x−2y=4

We can also write it as 

2y=3x−4

y=23x−4

 Substituting x=2 in the given equation 

 y=23(2)−4

 So we get 

 y=26−4

 y=22

 By division

 y=1

 Substituting x=−2 in the given equation 

 y=23(−2)−4

 So we get 

 y=2−6−4

 y=2−10 

 By division 

y=−5

 

x2    -2y    1-5 Now draw a graph using the points A(2,1) and B(-2,-5)

 Join the points AB through a line and extend in both the directions

 It is given

 x+y−3=0

 We can also write it as 

 y=3−x

 Substituting x=1 in the given equation

 y=3−1 So we get 

 y=2

 Substituting x=−1 in the given equation 

 y=3−(−1)

 So we get

 y=4

 x    1   -1y 2    4Now draw a graph using the points C(1,2) and D(−1,4)

 Join the points CD through a line and extend in both the directions.

 Therefore the coordinates of the point where the two graph lines intersect is A(2,1)