Graph each point on the same coordinate plane. 1. A(-1,2) 2. B(4,7) 3. C(-3,0) 4. D(0,3) 5. Refer to Exercises 1-4. Which equation below gives the relationship between pair of x and y- coordinates? a. y= 3x b. y = -3x c. y= x + 3 d. y = x -3

Sec 1 Tables and Graphs of Linear Equations

Represent a real-world linear relationship in a table, graph, or equation. Identify linear equations and linear relationships between variables in a table.

Linear relationships between two variables occur in a wide variety of situations. For example, the wages of a salesperson who earns a commission are often linearly related to the dollar amount of his or her sales. Why:

An attorney charges a fixed fee of $250 for an initial meeting and $150 per hour for all hours worked after that. a)Write an equation to model this situation. b)Make a table of the total charge for 1, 2, 3, and 4 hours worked. c)Graph the points and connect them. d.) Find the charge for 25 hours of work.

A plumber charges a base fee of $55 for a service call plus $35 per hour for all hours worked during the call. a) Write an equation to model this situation. b) Make a table of the total charge for 1, 2, 3, and 4 hours worked. c) Graph the points and connect them. d) Find the charge for 5 hours of work.

NOTES The previous examples had common characteristics. Total amount = variable amount + fixed amount The relationship can be written as y = mx + b. It is called a linear equation. The graph of a linear equation is a straight line.

EXAMPLE 2: Determine whether an equation is a linear equation. 1.y = x y = 2x² y = 2/x 4.5x-2y=7

TRY THIS: Determine whether an equation is a linear equation. 1.y = -4x y = x + 5

EXAMPLE 3: Determine whether a table represents a linear equation. x56789 y

TRY THIS: Determine whether each table represents a linear equation. x y 852 x23456 y346913

Lesson 1 Page8 (8-38 evens, 50, 51)