University:
Montgomery College
Course:
MATH 130: Elements of Mathematics I: Mathematical Reasoning and Number Systems
Academic year:

2023
Views:

168

Pages:

1
Author:

unrememberedx6wyi

Mini-Lecture 3.2 Graphing Linear Equations Learning Objectives: 1. Identify linear equations. 2. Graph a linear equation by finding and plotting ordered pair solutions. Examples: 1. For each equation, find three ordered pair solutions by completing the table. Then use the ordered pairs to graph the equation. x a) x − y = 2 y b) 3 1 y =− x−2 3 y x 6 -2 -4 0 -1 c) y= 2 x 3 x y d) y = -3 -6 x y 2 -1 0 0 10 3 Graph the following linear equations. e) x + y = 0 f) y = −2 x − 1 g) x – 2 = 0 2. Solve: The value of a house (y) increases in value x years after purchase by the formula y = 7,500x + 120,000. a) Graph the linear equation b) Complete the ordered pair (5, ) c) Write a sentence explaining the meaning of the ordered pair found in part b. Teaching Notes: • • • • Problems 1a) – d) tend to pose the least amount of challenge. Some students become very confused when they can choose any value for x or y as a starting point for finding an ordered-pair solution. Many students do not understand problems 1d) and 1g) and must memorize the form for an equation for a horizontal or a vertical line. Each section in the text has 3 worksheets in the Extra Practice featuring differentiated learning. Answers (for all graphs, see Mini-Lecture graphing answers at end of section) : 1a) (3,1), (0, -2), (-1, -3); 1b) (6, -4), (6, -4), (-6, 0); 1c) (-6, -4), (0,0), (5, 10 ); 1d) (-2,-3), (-1, -3), (0, -3); 1e ) – 1g) see graphing 2 answers; 2a) see graphing answers; 2b) (5, $157,500); 2c) After 5 years, the house’s value increased to $157,500.