Review of Week1
Name: ___________________
Consider the circle (x – 2)2 + (y +1)2 = 9. Suppose that you correctly deduced that it has radius
3, but mistakenly identified its center as (2, 1).
1.
On quadrille paper, set up a coordinate system , calculate, and label the four cardinal
points of the circle with center (2, 1) and radius 3.
2.
List the cardinal points here: __________, __________,__________,__________; and
plug their coordinates into the eqn. What do you observe?
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3.
Repeat 1. and 2. with the actual center.
List the cardinal points here: __________, __________,__________,__________; and
plug their coordinates into the equation. What do you observe?
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4.
Graph the points (-3, 5) and (5, 1). Calculate the midpt
of the line segment joining them. List the midpoint here: __________
and use the graph to confirm that it a reasonable answer.
5.
Suppose (-3, 5) and (3, 1) are the endpoints of the diameter of a circle. Use one of them
and the midpoint from 4. to calculate the radius of the circle. Draw the right triangle that
underlies the distance formula in this case.
Radius: ____________________
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6.
Write three points on the line y = 2x – 1. Graph the line on quadrille paper.
x
y
7.
Calculate the slope of the line that goes through the points (–2, 4) and (3, 1).
Write the eqn of the line through the points. _________________________
Graph the line on the same axes as the line from 6.
8.
Graphically solve the system:
y = 2x – 1
y = (-0.6)x + 2.8