Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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Concept explainers

Family of Curves
A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These…
XZ Plane
In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are…
Euclidean Geometry
Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) ge…
Lines and Angles
In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.
Question
**Question:** Which equation best represents the linear function shown? **Graph Description:** The graph shows a two-dimensional coordinate plane marked with grid lines. The x-axis and y-axis are both labeled with numbers from -8 to 8. A line is drawn on the graph, passing through the point (-2, -3) and (2, 3), depicting a linear function that rises from left to right. This indicates a positive slope. **Answer Options:** - \( y - 3 = 3(x - 2) \) - \( y - 6 = -3(x - 1) \) - \( y + 6 = -3(x + 1) \) - \( y + 3 = 3(x + 2) \) **Explanation:** To determine the equation that best represents the linear function, identify the slope and y-intercept of the line from the graph. Use any two points the line passes through to calculate the slope and compare with the given options.
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Transcribed Image Text:**Question:** Which equation best represents the linear function shown? **Graph Description:** The graph shows a two-dimensional coordinate plane marked with grid lines. The x-axis and y-axis are both labeled with numbers from -8 to 8. A line is drawn on the graph, passing through the point (-2, -3) and (2, 3), depicting a linear function that rises from left to right. This indicates a positive slope. **Answer Options:** - \( y - 3 = 3(x - 2) \) - \( y - 6 = -3(x - 1) \) - \( y + 6 = -3(x + 1) \) - \( y + 3 = 3(x + 2) \) **Explanation:** To determine the equation that best represents the linear function, identify the slope and y-intercept of the line from the graph. Use any two points the line passes through to calculate the slope and compare with the given options.
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