Draw the graph of 3x - 2y + 6=0 and x +2y -6 =0 in a graph paper and find - Maths - Linear Equations in Two Variables

Question

Draw the graph of 3x - 2y + 6=0 and x +2y -6 =0 in a graph paper
and find the area is the triangle formed by these two lines and the
x-axis

Ayush Jha · Accepted Answer

Given lines are: 3x - 2y + 6=0 and x +2y -6 =0 Firstly, consider the line 3x - 2y + 6 = 0 The solution for the given line is: x 0 -2 y 3 0 Now plot the points (0,3) and (-2,0) on the graph as shown below Now, line x +2y -6 =0 The solution for the given line is: x 0 -6 y 3 0 Now plot the points (0,3) and (-6,0) on the graph as shown below

Area of triangle = $\frac{1}{2} \times b a s e \times h e i g h t$ = $\frac{1}{2} \times 8 \times 3$ = 12 (unit)2

Draw the graph of 3x - 2y + 6=0 and x +2y -6 =0 in a graph paper and find the area is the triangle formed by these two lines and the x-axis