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# plz help

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What is the area, in square units, of the interior region formed by the lines y = 2x - 4, y = -3x +16 and the y-axis?

waffles  Nov 21, 2017
edited by waffles  Nov 21, 2017
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#1
+79835
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I'm assuming that you mean the x axis

We have a triangular area...

The line y  = 2x - 4    and y =  -3x + 16  intersect at the x value

2x - 4   =  -3x + 16

5x  =  20

x =4

So...x =  2(4) - 4  =  4

And the y coordinate is  2(4) - 4  = 4....and thid the height of the triangular aresw

And   y = 2x - 4   intersects the x axis at x =  2

And y = -3x + 16   intersects the x axis at  16/3

So....we have a triangle with a base of  [ 16/3 - 2]   = 10/3    and a height of 4

So....the area is     (1/2)(10/3) (4)   =  20/3 units^2

CPhill  Nov 21, 2017
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waffles  Nov 21, 2017
#3
+79835
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OK....

We have a  triangle with a height of 4 and a base of 20

So....the area is  (1/2)(20)(4)  =  40 units^2

Here's the graph : https://www.desmos.com/calculator/ktl6nn6onh

CPhill  Nov 21, 2017

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