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?

Guest Dec 2, 2020

#1**+1 **

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!**

\(y=4x-6\\ y=-2x+8\)

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

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

\(A=\frac{49}{3}\ square\ units\)

!

asinus Dec 3, 2020