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 Quadrant III x < 0, y < 0 Quadrant IV x > 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 P 1 = (3, -5) to P 2 = (1, 7). Plot the points P 1 and P 2 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)

OBJECTIVE 4

Solve for y: – 2x + 5y + 3 = – 1

OBJECTIVE 5

OBJECTIVE 6

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OBJECTIVE 7