Mini-Lecture 3.3: Intercepts | Montgomery College - Edubirdie

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

2023
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371

Pages:

1
Author:

vrredneck1346hb

Mini-Lecture 3.3 Intercepts Learning Objectives: 1. Identify intercepts of a graph. 2. Graph a linear equation by finding and plotting intercepts. 3. Identify and graph vertical and horizontal lines. Examples: 1. Identify the intercepts. a) b) c) 2. Graph each linear equation by finding and plotting its intercepts. a) x − y = 2 b) x − y = −3 c) d) x − 3 y = 0 e) y = 3x + 3 f) 2x + 4 y = 8 y = −2 x − 4 3. Identify the type of equation (horizontal or vertical line) and graph the equation. a) x = −3 b) y=2 c) x + 3 = 5 Teaching Notes: • • • • Sometimes, students will list the intercepts as a single number; not an ordered pair. For example: x-intercept: 3, y-intercept: 4. Remind students that any time (0, 0) is a point on a graph, then that is both its x- and y-intercept. Some students confuse horizontal and vertical lines. For example: if x = -5, have students mentally graph the line that would intersect the x axis at –5. This line could only be vertical, not horizontal. Each section in the text has 3 worksheets in the Extra Practice featuring differentiated learning. Answers: 1a) (-2, 0), (0, 3); 1b) (2, 0), (0,4); 1c) (-1, 0), (0, -2); 2a) – 2f) see mini-lecture graphing answers; 3a) vertical; 3b) horizontal; 3c) vertical.

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