Question

Shade the triangular region formed by the graphs of 2x – y = 4 and x + y = 2 and the y-axis.

Write the coordinates of the vertices of the triangle and find its area.​

Answer 1

Step-by-step explanation:

For L

1

2x−y=4⟹

2

x

+

−4

y

=1

For L

2

2x−y=4⟹

2

x

+

2

y

=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)

solution