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 = 2x – 2 and y = 4x – 4.
Consider the equation y = 2x – 2
When x = 1, y = 2 × 1 – 2 = 2 – 2 = 0
When x = –1, y = 2 × (–1) – 2 = –2 – 2 = –4
When x = 2, y = 2 × 2 – 2 = 4 – 2 = 2
Thus, we have the following table
.png)
Consider the equation y = 4x – 4
When x = 1, y = 4 × 1 – 4 = 4 – 4 = 0
When x = 0, y = 4 × 0 – 4 = 0 – 4 = –4
When x = 2, y = 4 × 2 – 4 = 8 – 4 = 4
Thus, we have the following table
.png)
Area of the triangle bounded by the given lines and the y-axis =
.png)
Cheers!