SOLUTION: Find the area of the region bounded by the y-axis, x-axis and the line y=−2x+4.

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Question 1152111: Find the area of the region bounded by the y-axis, x-axis and the line y=−2x+4.
Found 2 solutions by math_helper, MathLover1:
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!



Geometric solution: A = +%281%2F2%29bh+=+%281%2F2%29%282%29%284%29+=+highlight%28+4+%29+ sq units

Calculus solution: A = +int%28%28-2x%2B4%29%2Cdx%2C+0%2C+2%29+
+A+=++-x%5E2+%2B+4x++ evaluated at x=2 minus value at x=0
+A+=+-%282%29%5E2+%2B+4%282%29+=+-4+%2B+8+=+4+ sq units


Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

the region bounded by the y-axis, x-axis and the line y=-2x%2B4 is in shape of right triangle
find x an y-intercept:
y=-2%2A0%2B4=>y=4
0=-2x%2B4=>x=2

+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+-2x%2B4%29+
the area of triangle is %282%2A4%29%2F2=4