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# interior region formed by the lines

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What is the area, in square units, of the interior region formed by the lines y = 4x - 6, y = -2x + 8, and the y-axis?

Dec 2, 2020

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What is the area, in square units, of the interior region formed by the lines y = 4x - 6, y = -2x + 8, and the y-axis?

Hello Guest!

$$y=4x-6\\ y=-2x+8$$

$$4x-6=-2x+8\\ 6x=14\\ \color{blue}x=\frac{7}{3}$$

$$A=\frac{1}{2}\cdot (8+6)\cdot \frac{7}{3}$$

$$A=\frac{49}{3}\ square\ units$$

!

Dec 3, 2020