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K Graph the equation by plotting points. y=-3x+9 Complete the ordered pairs in the table below. X -2 -1 N (Simplify your answers. Type ordered pairs.)

K Graph the equation by plotting points. y=-3x+9 Complete the ordered pairs in the table below. X -2 -1 N (Simplify your answers. Type ordered pairs.)

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Lesson 8.1: Graphing Linear Equations** **Objective: Graph the equation by plotting points.** Equation: \( y = -3x + 9 \) --- **Instructions:** Complete the ordered pairs in the table below. | \( x \) | \( (x, y) \) | |:-------:|:-----------:| | -2 | | | -1 | | | 0 | | | 1 | | *(Simplify your answers. Type ordered pairs.)* --- **Explanation:** Calculate the \( y \)-coordinate for each \( x \)-value using the equation \( y = -3x + 9 \). For example, for \( x = -2 \), substitute \(-2\) into the equation to find \( y \). 1. \( x = -2 \): \( y = -3(-2) + 9 = 6 + 9 = 15 \). So, the ordered pair is \((-2, 15)\). 2. \( x = -1 \): \( y = -3(-1) + 9 = 3 + 9 = 12 \). So, the ordered pair is \((-1, 12)\). 3. \( x = 0 \): \( y = -3(0) + 9 = 0 + 9 = 9 \). So, the ordered pair is \((0, 9)\). 4. \( x = 1 \): \( y = -3(1) + 9 = -3 + 9 = 6 \). So, the ordered pair is \((1, 6)\). Plot these ordered pairs on a graph and draw a line through them to represent the equation \( y = -3x + 9 \).
Transcribed Image Text:**Lesson 8.1: Graphing Linear Equations** **Objective: Graph the equation by plotting points.** Equation: \( y = -3x + 9 \) --- **Instructions:** Complete the ordered pairs in the table below. | \( x \) | \( (x, y) \) | |:-------:|:-----------:| | -2 | | | -1 | | | 0 | | | 1 | | *(Simplify your answers. Type ordered pairs.)* --- **Explanation:** Calculate the \( y \)-coordinate for each \( x \)-value using the equation \( y = -3x + 9 \). For example, for \( x = -2 \), substitute \(-2\) into the equation to find \( y \). 1. \( x = -2 \): \( y = -3(-2) + 9 = 6 + 9 = 15 \). So, the ordered pair is \((-2, 15)\). 2. \( x = -1 \): \( y = -3(-1) + 9 = 3 + 9 = 12 \). So, the ordered pair is \((-1, 12)\). 3. \( x = 0 \): \( y = -3(0) + 9 = 0 + 9 = 9 \). So, the ordered pair is \((0, 9)\). 4. \( x = 1 \): \( y = -3(1) + 9 = -3 + 9 = 6 \). So, the ordered pair is \((1, 6)\). Plot these ordered pairs on a graph and draw a line through them to represent the equation \( y = -3x + 9 \).
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