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Problems in Analytic Geometry

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Please help on how to approach the following problems:

1. For the given equation, list the intercepts and test for symmetry

What are the intercepts?

2. For the given equation, list the intercepts and test for symmetry.

What are the intercepts?

3. If (a, negative 6) is a point on the graph of y=x^2-5x what is a?

4. Find an equation for the line with the given properties. Express teh equation in slope intercept form.
Containng the points P=(- 4,-4) and Q = (-2, -1)
What is the equation of the line?

5. Find the equation of a line that is perpendicular to the line y=1/2x+3 and contains the point (-8,0)

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Solution Preview

1. x^2 + 4y^2 = 4 is the equation of an ellipse. The standard form of this equation is (x/2)^2 + y^2 = 1. Thus we see that this is an ellipse centered at the origin with semimajor axis of length 2 and semiminor axis of length 1 oriented along the x and y axes respectively. The intercepts of this ellipse ...

Solution Summary

The solution solves several problems in analytic geometry.