Question

Draw the graphs of the following linear equations on the same graph paper
2x + 3y =12
x-y=1
Find the coordinates of the vertices of the triangle formed by the two straight lines and the y-axis
Hence, find the area of triangle thus formed.​

Answer 1

Answer:

Area of triangle = 5 sq unit

Step-by-step explanation:

2x + 3y =12

x 2x + 3y = 12 x - y = 1

x        y                     y

-5 22/3         -6

-4 20/3         -5

-3 6                 -4

-2 16/3                  -3

-1 14/3                    -2

0 4                 -1

1 10/3             0

2 8/3            1

3 2                2

4 4/3                3

5 2/3           4

6 0                 5

Vertices of triangles (0,4)  (0,-1)  & (2,2)

Area of triangle = (0(-1 - 2)  + 0(2 - 4)  + 2(4-(-1)  )/2

= (0 + 0 + 10)/2

= 5 sq unit