Shade the triangle formed by the graphs $2 x - y = 4, x + y = 2$ and the y-axis Write the coordinates of vertices of the triangle

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Solution

For $L_{1}$ $2 x - y = 4 ⟹ \frac{x}{2} + \frac{y}{- 4} = 1$
For $L_{2}$ $2 x - y = 4 ⟹ \frac{x}{2} + \frac{y}{2} = 1$
For $L_{3}$ $x = 0$
Drawing $L_{1}, L_{2}, L_{3}$ in a graph, we will have the shaded region represents a triangle formed by the intersection of three lines $L_{1}, L_{2}, L_{3}$ with vertices $(0, 2), (2, 0), (0, - 4)$

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Shade the triangle formed by the graphs 2x−y=4,x+y=2 and the y-axis Write the coordinates of vertices of the triangle

For L1 2x−y=4⟹x2+y−4=1For L2 2x−y=4⟹x2+y2=1For L3 x=0Drawing L1,L2,L3 in a graph, we will have the shaded region represents a triangle formed by the intersection of three lines L1,L2,L3 with vertices (0,2),(2,0),(0,−4)

Shade the triangle formed by the graphs $2 x - y = 4, x + y = 2$ and the y-axis Write the coordinates of vertices of the triangle