# How do you find the area of the region bounded by the two axes and the line y=4-3x?

graph{4-3x}

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To find the area of the region bounded by the two axes and the line y = 4 - 3x, you need to compute the definite integral of the function y = 4 - 3x with respect to x over the appropriate interval. First, find the x-coordinate where the line intersects the x-axis by setting y = 0 and solving for x. Then, find the x-coordinate where the line intersects the y-axis by setting x = 0 and solving for y. Use these x-coordinates as the limits of integration. The area is then the absolute value of the integral of the function over this interval.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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