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