Question

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Answer 1

Answer:

Given: Linear equation x-y+2=0 and 4x-y-4=0.

To find : Area of triangle formed by lines so drawn and x-axis

Step-by-step explanation:

1) x-y+2=0

if x = 0

so (0,2) is the solution

Now if y=0

Hence, (-2,0) is the solution

Similarly

4x-y-4=0

(0,-4) and (1,0) are the solution

Attached graph

Now as we can see from the graph

The coordinate of triangle formed by lines so drawn and x-axis are (-2,0),(1,0), (2,4)

Now as we know area of triangle is given by

where

Hence, the area of required triangle is 6 square