How do I calculate the are for the interior region formed by \(y =2x -4, y=-3x+16 \) and the y-axis \(\)
A graph works best : https://www.desmos.com/calculator/efn1vtgwgr
Note that this region forms a triangle with a base of 16 - - 4 = 20
And the intersection of these lines is (4, 4) so the height of the triangle formed= 4
So the area = (1/2) base * height = (1/2) 20 * 4 = 40 units^2
So then if I have y=4x-6, y=-2x+12 and y-axis can I calculate the area to be
1/2*b*h where b = 18, h = 3 from the graph so area = 27?
Am I approaching this the right way?