The area of the triangle formed by the line and the coordinate axes is
Pick one
Solution
The given line equation is . To find the area of the triangle formed by this line and the coordinate axes, we first need to determine the points at which the line intersects the axes.
For the x-axis, we set and solve for : . This gives us the point .
For the y-axis, we set and solve for : . This results in the point .
Now we have a right triangle with base length 5 (along the x-axis) and height 2 (along the y-axis). The area of a right triangle can be calculated using the formula:
Substituting the base and height we found:
So, the area of the triangle formed by the line and the coordinate axes is .
Therefore, the correct choice is B.
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