draw the graph of the equation

y=2x-2 and y=4x-4 and find the area of the triangle bounded by these lines and axis by y.

Hi!

Here is the answer to your question.

The given equations are

*y*= 2*x*– 2 and*y*= 4*x*– 4.Consider the equation

*y*= 2*x*– 2When

*x*= 1,*y*= 2 × 1 – 2 = 2 – 2 = 0When

*x*= –1,*y*= 2 × (–1) – 2 = –2 – 2 = –4When

*x*= 2,*y*= 2 × 2 – 2 = 4 – 2 = 2Thus, we have the following table

Consider the equation

*y*= 4*x*– 4When

*x*= 1,*y*= 4 × 1 – 4 = 4 – 4 = 0When

*x*= 0,*y*= 4 × 0 – 4 = 0 – 4 = –4When

*x*= 2,*y*= 4 × 2 – 4 = 8 – 4 = 4Thus, we have the following table

Area of the triangle bounded by the given lines and the y-axis =

Cheers!

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