A triangular region is bounded by the two coordinate axes and the line given by the equation 2x + y = 6. What is the area of the region, in square units?

Guest Apr 24, 2019

#1**+1 **

*A triangular region is bounded by the two coordinate axes and the line given by the equation 2x + y = 6. What is the area of the region, in square units?*

The x-axis and the y-axis form two legs of the triangle, and the line 2x + y = 6 forms the third side.

use the equation 2x + y = 6 to determine the points where the third side joins each of the other two

at x = 0 you get y = 6 That's the height of the triangle. (the distance up the y-axis)

at y = 0 you get x = 3 That's the base of the triangle. (the distance out the x-axis)

Area of a triangle = half the base times the height

A = (1/2)*(3)*(6) = (1/2)*(18)

A = 9 units^{2}

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Guest Apr 24, 2019