High School

Find the slope of the curve at the given point. 7 4y + 9x9 = 5y + 8x at (1,1) The slope of the curve 4y7 +9x9 = 5y + 8x at (1,1) is (Type a simplified fraction.)

Answer :

The slope of the curve at the given point (1,1) is -1/5.

The equation given is 4y7+9x9=5y+8x. To find the slope of the curve at a given point, we need to differentiate the equation with respect to x and then substitute the value of x with the given point’s x-coordinate and then find the corresponding y-coordinate. The slope of the curve at the given point is the value obtained after substituting x and y values.

Thus, finding the slope of the curve at the given point, (1,1), would be straightforward.

Given equation is 4y7 + 9x9 = 5y + 8x and point (1,1).

Now, differentiate the equation w.r.t. x to find the slope of the curve:

Therefore, slope of the curve is -1/5 at (1,1).

Thus, the slope of the curve at the given point (1,1) is -1/5.

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