Find the area of the triangle formed by the lines `y = x, y= 2x, y=3x+4`

Explanation

For intersection point of lines y = x and y = 2x,

We have 2x = x ⇒ 2x - x = 0 ⇒ x = 0

Put x = 0 in line y = x, we get y = 0.

Hence, intersection point of lines y = x and y = 2x is B(0, 0)

. For intersection point of lines y = x and y = 3x + 4,

We have x = 3x + 4 ⇒ 2x = -4 ⇒ x = -2

Put x = -2 in line y = x, we get y = -2.

Hence, intersection point of lines y = x and y = 3x + 4 is A(-2, -2).

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