The center of an ellipse is (1,6). One focus is of the ellipse is (-1,6). One vertex of the ellipse is (6,6) what is the equation of the ellipse in standard form

According to the information given, the equation of the elipse is:

The equation of an elipse of center is given by:

In this problem, the center is (1,6), hence .

There is a vertex at (6,6), hence .

The focus at (-1,6) means that , hence:

The equation is:

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the linear relationship that represents a variation in direct proportion is the linear function that varies according to the numbers of its domain, for example the cost of producing x number of items can be represented in direct proportion by f (x) = mx + b, where m is the constant of proportionality, x the number of articles produced and b the fixed cost