In the xy-plane, the line tangent to the graph of x² + xy + y = 3 at the point (1, 1) has a slope of

The slope of the tangent line is -3/2.

Step-by-step explanation:

The slope of a tangent line is given by the derivative evaluated at the point of tangency.

To find the derivative dy/dx, use implicit differentiation.

The derivative of the first term is 2x.

The derivative of the second term is found by using the Product Rule.

The derivative of  y  is dy/dx.

The derivative of 3 is 0.

Differentiating each term produces

Solve for dy/dx.

Plug in the point (1, 1).

11

step-by-step explanation:

32.50-7.50=25

225/25=11

answer: both chords and diameters have two endpoints on a circle. diameters must intersect the center of a circle.