Section 1.1 Rectangular Coordinates; Graphing Utilities; Introduction to Graphing Equations.
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Transcript of Section 1.1 Rectangular Coordinates; Graphing Utilities; Introduction to Graphing Equations.
Section 1.1
Rectangular Coordinates;
Graphing Utilities;
Introduction to Graphing Equations
x axis
y axis
origin
Rectangular or Cartesian Coordinate System
Let's plot the point (6,4)
(-3,-5)
(0,7)Let's plot the point (-6,0)
(6,4)
(-6,0)
Let's plot the point (-3,-5) Let's plot the point (0,7)
Quadrant I x > 0, y > 0
Quadrant II x < 0, y > 0
Quadrant III x < 0, y < 0
Quadrant IVx > 0, y < 0
Find the coordinates of the point shown. Assume the coordinates are integers.
OBJECTIVE 1
Find the distance d between the points (2, 5) and (4, 8)
Horizontal or Vertical Segments
Find the length of the line segment shown.
A = (– 4, – 1), B = (1, 11), and C = (1, – 1)
OBJECTIVE 2
Find the midpoint of a line segment from P1 = (3, -5) to P2 = (1, 7). Plot the points P1 and P2 and their midpoint.
OBJECTIVE 3
Determine if the following points are on the graph of the equation – 3x +y = 6
(b) (2, 0)(a) (0, 4) (c) (– 1, 3)
3y x
OBJECTIVE 4
Solve for y: – 2x + 5y + 3 = – 1
2Use a graphing utility to graph the equation 2 12x y
OBJECTIVE 5
2Create a table that displays the points on the graph of 2 12
for 3, 2, 2, 0,1, 2, 3
x y
x
OBJECTIVE 6
.
OBJECTIVE 7
22 12x y