$\"\"$

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The line equation is $\"\"$ .

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The curve equation is $\"\"$ .

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The line divides the region under the curve on $\"\"$ .

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Graph:

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Graph the line and curve.

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$\"\"$

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Observe the graph:

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The line divides the region under the curve on $\"\"$ .

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Find the points of intersection.

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$\"\"$ and $\"\"$ .

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$\"\"$

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Area of the region bounded by $\"\"$ and $\"\"$ is from $\"\"$ to $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$

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Find the area of the curve $\"\"$ above $\"\"$ -axis on $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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Thus, the area of the whole region under the curve on $\"\"$ is $\"\"$ .

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Area of region below the line, the parabola and $\"\"$ -axis is $\"\"$ .

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$\"\"$

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Area of bottom and top regions are same.

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Therefore, the line divides the region under the curve on $\"\"$ into two regions of equal area.

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The statement is true.

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$\"\"$

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The statement is true.