Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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Question
Identify the equation of the graph. Answer options are: 1. y is greater than or equal to -2x-4 2. y is less than or equal to (1/2)x-4 3. y is less than or equal to 2x-4 4. y is greater than or equal to -(1/2)x-4
The provided image displays a two-dimensional graph with a line plotted on a Cartesian coordinate system. Below is a detailed explanation suitable for an educational website: ### Graph Description - **Axes:** - The horizontal axis is labeled as the x-axis. - Both axes consist of evenly spaced intervals marked by short, perpendicular lines. - **Line:** - A diagonal line runs through the graph, extending from the upper left quadrant towards the lower right. - The line appears to be linear, indicating a constant rate of change. - **Coordinates and Intersections:** - The line crosses the y-axis between the origin and the first grid line above it. - It intersects the x-axis at the negative side, indicating a negative slope. - **Appearance:** - The line is displayed with arrows on both ends, signifying it continues indefinitely in both directions. ### Analytical Observations - The line's negative slope suggests that as the value of x increases, the value of y decreases. - Understanding the position where the line intersects both axes can help determine its equation and slope. This visualization can aid in comprehending basic linear function properties, including slope and intercepts, which are fundamental concepts in algebra and coordinate geometry.
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Transcribed Image Text:The provided image displays a two-dimensional graph with a line plotted on a Cartesian coordinate system. Below is a detailed explanation suitable for an educational website: ### Graph Description - **Axes:** - The horizontal axis is labeled as the x-axis. - Both axes consist of evenly spaced intervals marked by short, perpendicular lines. - **Line:** - A diagonal line runs through the graph, extending from the upper left quadrant towards the lower right. - The line appears to be linear, indicating a constant rate of change. - **Coordinates and Intersections:** - The line crosses the y-axis between the origin and the first grid line above it. - It intersects the x-axis at the negative side, indicating a negative slope. - **Appearance:** - The line is displayed with arrows on both ends, signifying it continues indefinitely in both directions. ### Analytical Observations - The line's negative slope suggests that as the value of x increases, the value of y decreases. - Understanding the position where the line intersects both axes can help determine its equation and slope. This visualization can aid in comprehending basic linear function properties, including slope and intercepts, which are fundamental concepts in algebra and coordinate geometry.
The image displays a coordinate plane featuring the x-axis and y-axis. The axes have arrows indicating the positive directions. The y-axis is labeled with the letter "y," while the x-axis is not visibly labeled. A line with a negative slope moves diagonally downward from the top left to the bottom right, intersecting the y-axis near an upper point and moving towards the x-axis at the lower region, suggesting a line equation of form \(y = -mx + c\). The graph is divided into two shaded regions: one is to the left of the line, and the other is to the right. The shading on the left is darker, indicating that this region might represent a particular solution set or inequality. The exact solution or inequality is not provided, and further context is required for precise interpretation.
expand button
Transcribed Image Text:The image displays a coordinate plane featuring the x-axis and y-axis. The axes have arrows indicating the positive directions. The y-axis is labeled with the letter "y," while the x-axis is not visibly labeled. A line with a negative slope moves diagonally downward from the top left to the bottom right, intersecting the y-axis near an upper point and moving towards the x-axis at the lower region, suggesting a line equation of form \(y = -mx + c\). The graph is divided into two shaded regions: one is to the left of the line, and the other is to the right. The shading on the left is darker, indicating that this region might represent a particular solution set or inequality. The exact solution or inequality is not provided, and further context is required for precise interpretation.
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