Draw the graph of two lines …
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Preeti Dabral 3 years, 3 months ago
Given : Equations of the line 3x + 2y - 6 = 0 and x + 2y - 6 = 0
To Find : Area of the triangle formed by 2 lines and x-axis.
Solution:
Equation of the first line is 3x + 2y - 6 = 0
Slope-intercept form of the equation is,
2y = -3x + 6
Table for input-output values will be,
x 0 2 4
y 3 0 -3
Similarly, second equation is,
x + 2y - 6 = 0
2y = -x + 3
y =
--------(2)
Table for input-output values will be,
x 0 2 6
y 3 2 0
Now by plotting these points we get a triangle with vertices (0, 3), (2, 0) and (6, 0)
Area of the given triangle =(%5Ctext%7Bheight%7D))
Base = 4 units
Height = 3 units
Area =(3))
= 6 square units
0Thank You