Use graph paper for this question. Draw the graph of 3x - 2y + 4 = 0 and
x + y + 3 = 0 on the same axes. Use 2cm = 1 unit on the both the axes and plot
only 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 lines and the y-axis.
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area of the triangle formed by the lines and the y-axis. = 5 sq units
Step-by-step explanation:
x 3x - 2y + 4 = 0 x + y + 3 = 0
-4 -4 1
-2 -1 -1
0 2 -3
2 5 -5
4 8 -7
(-2 , -1) is point of intersection of lines
Area formed by points ( 0, 2) , (0 , -3) & (-2 , -1)
= (1/2) | 0 (-3 - (-1)) + 0(-1 - 2) + (-2)(2 - (-3))|
= (1/2) | 0 + 0 - 10 |
= 10/2
= 5
area of the triangle formed by the lines and the y-axis. = 5 sq units
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