Math 75A. Mathematical Analysis with Review IA. Spring 2010.

Homework 1 (due Tue, 9/7, at 2:00 PM)

1. Find the distance between the points (1,-3) and (5,7).
2. Find the slope of the line through the points (-1,6) and (4.-3).
3. Find an equation of the line that passes through (-3,-5) and has slope -7/2.
4. Find an equation of the line that passes throguh (4,5) and is parallel to the y-axis.
5. Show that the triangle with vertices A(0,2), B(-3,-1), and C(-4,3) is isosceles.
6. Plot the points A(1,1), B(7,4), C(5,10). Find the coordinates of a point D such that ABCD is a parallelogram.
7. Find an equation of the circle that has center at (-2,8) and radius 10.
8. Plot the lines with equations x+3y=0 and 2x-5y=0 and find their intersection point(s).


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