Chapter 1.1
The Coordinate Plane
Quadrants:
Distance Formula:
Midpoint Formula:
Find the distance and midpoint between the given points below:
1.
(4, -2), (3, 5)
2.
(0, 3), (-1, -6)
3.
(-7, -1), (-3, 2)
4.
(-4, -6), (-3, -3)
Circles
The circle with center (c, d) and radius r is the graph of:
The circle with center (0, 0) and radius r is the graph of:
Find the equation of the circle with the given center and radius (r).
5.
(3, -2); r = 1
6.
(0, 4); r = 5
7.
(0, 0); r = 12
8.
(-2, -7); r = 2
9.
Sketch the graph of
10. Sketch the graph of
11. Sketch the graph of
Find the equation of the circle with the given information.
12. Center (3, 2); passes through the origin
13. Center (-1, 4); passes through the origin
14. Center (-4, -5); tangent (touching at one point) to the x-axis.
Chapter 1.2
Graphs and Graphing Technology
Overview of calculator:
Trace –
Zoom –
Window –
Maximum –
Minimum –
What is a complete graph?
Graph the equations by using a table and checking the graph with your calculator.
15.
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16.
17.
18.
Graph these equations in a suitable square viewing window. (Hint: solve for y first.)
a.
b.
Chapter 1.3
Lines
Slope:
Slope-Intercept Form:
Parallel Lines:
Perpendicular Lines:
19.
Find the slope and y-intercept of:
Find the slope of the line through the given points.
20.
(1, 3), (-2, 6)
21.
(4, 8), (4, -2)
22.
(-5, -1), (7, 5)
23. (-1, 1), (3, 1)
Find the equation of the line with slope m that passes through the given point.
24.
m = -2; (-2, 1)
25.
m = 4; (3, 4)
Find the equation of the line through the given points.
26.
(4, 3) and (2, -1)
27.
(6, 7) and (6, 15)
Determine whether the lines that are given are perpendicular, perpendicular, or neither.
28.
29.
–
Write an equation for the line satisfying the given condition.
30.
Though (1, -2) and perpendicular to
31.
Through (5, -2) and parallel to the line through (1, 2) and (4, 3).