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Part 2: Graph the linear equation on the coordinate plane below. 51 4 3 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 -1 -2 -3 -4

Part 2: Graph the linear equation on the coordinate plane below. 51 4 3 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 -1 -2 -3 -4

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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### Instructions for Plotting a Linear Equation **Part 2: Graph the linear equation on the coordinate plane below.** You are given a coordinate plane with the x-axis labeled from -6 to 6 and the y-axis labeled from -4 to 5. In order to graph a linear equation on this coordinate plane, follow these steps: 1. **Identify the Equation:** Ensure you have the linear equation in the form of \( y = mx + b \), where \( m \) represents the slope and \( b \) represents the y-intercept. 2. **Plot the Y-Intercept:** - Find the value of \( b \) (y-intercept) and plot this point on the y-axis. For example, if \( b = 2 \), place a point at (0, 2) on the graph. 3. **Use the Slope:** - The slope \( m \) indicates the rise over run (the change in y over the change in x). For example, if the slope \( m = \frac{2}{3} \), it means for every 3 units you move to the right on the x-axis, you move up 2 units on the y-axis. - From the y-intercept point, use the slope to find another point. Continue to use the slope to find additional points. 4. **Draw the Line:** - Once you have at least two points plotted, use a ruler to connect the points in a straight line. - The line should extend in both directions beyond the plotted points, approximating where they would continue on the coordinate plane. In the event that you need to plot multiple lines or compare linear equations, repeat these steps for each equation. Make sure to use different colors or markings if necessary to distinguish between different lines. **Example:** For the equation \( y = 2x + 1 \): - The y-intercept \( b = 1 \). Plot the point (0, 1). - The slope \( m = 2 \), which means rise 2 units and run 1 unit. From the point (0, 1), move up 2 units to y = 3 and right 1 unit to x = 1, plotting the point (1, 3). - Connect these points with a straight line. Use this coordinate grid to graph your equations and visualize the relationships between variables. This grid
Transcribed Image Text:### Instructions for Plotting a Linear Equation **Part 2: Graph the linear equation on the coordinate plane below.** You are given a coordinate plane with the x-axis labeled from -6 to 6 and the y-axis labeled from -4 to 5. In order to graph a linear equation on this coordinate plane, follow these steps: 1. **Identify the Equation:** Ensure you have the linear equation in the form of \( y = mx + b \), where \( m \) represents the slope and \( b \) represents the y-intercept. 2. **Plot the Y-Intercept:** - Find the value of \( b \) (y-intercept) and plot this point on the y-axis. For example, if \( b = 2 \), place a point at (0, 2) on the graph. 3. **Use the Slope:** - The slope \( m \) indicates the rise over run (the change in y over the change in x). For example, if the slope \( m = \frac{2}{3} \), it means for every 3 units you move to the right on the x-axis, you move up 2 units on the y-axis. - From the y-intercept point, use the slope to find another point. Continue to use the slope to find additional points. 4. **Draw the Line:** - Once you have at least two points plotted, use a ruler to connect the points in a straight line. - The line should extend in both directions beyond the plotted points, approximating where they would continue on the coordinate plane. In the event that you need to plot multiple lines or compare linear equations, repeat these steps for each equation. Make sure to use different colors or markings if necessary to distinguish between different lines. **Example:** For the equation \( y = 2x + 1 \): - The y-intercept \( b = 1 \). Plot the point (0, 1). - The slope \( m = 2 \), which means rise 2 units and run 1 unit. From the point (0, 1), move up 2 units to y = 3 and right 1 unit to x = 1, plotting the point (1, 3). - Connect these points with a straight line. Use this coordinate grid to graph your equations and visualize the relationships between variables. This grid
**Part 1: Evaluate the following linear equation for the given values.** **Equation:** \( y = -3x - 3 \) The table below has columns labeled \( x \) and \( y = -3x - 3 \): | \( x \) | \( y = -3x - 3 \) | |:------:|:------------------:| | -4 | 9 | | -1 | 0 | | 1 | -6 | | 4 | -15 | All values have been evaluated correctly and checked as correct.
Transcribed Image Text:**Part 1: Evaluate the following linear equation for the given values.** **Equation:** \( y = -3x - 3 \) The table below has columns labeled \( x \) and \( y = -3x - 3 \): | \( x \) | \( y = -3x - 3 \) | |:------:|:------------------:| | -4 | 9 | | -1 | 0 | | 1 | -6 | | 4 | -15 | All values have been evaluated correctly and checked as correct.
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