I need to find the slope, y-intercept, which inequality symbol is used, the inequality represented by the graph, Below is the detailed description and transcription of the image for an educational website:---### Linear Inequality Graph InterpretationThe graph provided represents the linear inequality $y \leq \frac{2}{3}x$.#### Description:1. **Axes and Grid**: - **X-Axis (Horizontal)**: The range is from -5 to 5. - **Y-Axis (Vertical)**: The range is from -6 to 4. - The graph is constructed on a Cartesian coordinate plane with grid lines.2. **Equation Line**: - The boundary of the inequality is marked by the line $y = \frac{2}{3}x$. This line passes through multiple points on the graph: - $(0, 0)$ (Origin) - $(3, 2)$ - $(6, 4)$ (Note: this point is not part of the visible graph range) - The slope of the line is positive, indicating that as x increases, y also increases proportionately.3. **Shaded Region**: - The area below the line $y = \frac{2}{3}x$ is shaded, indicating that the inequality $y \leq \frac{2}{3}x$ includes all points in this region. - This shaded region encompasses points where the y-value is less than or equal to $\frac{2}{3}$ of the corresponding x-value.#### Interpretation:The shaded region of this graph contains all solution points for the inequality $y \leq \frac{2}{3}x$. Any point in this shaded area is a valid solution to the inequality. Points on the boundary line $y = \frac{2}{3}x$ are also included in the solution set, as indicated by the "less than or equal to" (≤) in the inequality.#### Educational Application:Understanding how to graph linear inequalities is crucial for solving many algebraic problems and understanding their solutions. This example provides a clear visual representation of how a linear inequality divides the plane into a region comprising all its solutions.---

From the Figure the blue dotted line passing through the points (0,-3),(3,-1) Finding Slope using…

Answered: -3 2- -4 -3 -2 3 -1 -4. -5 -6 5. 2. -1

Math

Algebra

-3 2- -4 -3 -2 3 -1 -4. -5 -6 5. 2. -1

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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I need to find the slope, y-intercept, which inequality symbol is used, the inequality represented by the graph,

Below is the detailed description and transcription of the image for an educational website:

---

### Linear Inequality Graph Interpretation

The graph provided represents the linear inequality $y \leq \frac{2}{3}x$.

#### Description:

1. **Axes and Grid**:
- **X-Axis (Horizontal)**: The range is from -5 to 5.
- **Y-Axis (Vertical)**: The range is from -6 to 4.
- The graph is constructed on a Cartesian coordinate plane with grid lines.

2. **Equation Line**:
- The boundary of the inequality is marked by the line $y = \frac{2}{3}x$. This line passes through multiple points on the graph:
- $(0, 0)$ (Origin)
- $(3, 2)$
- $(6, 4)$ (Note: this point is not part of the visible graph range)
- The slope of the line is positive, indicating that as x increases, y also increases proportionately.

3. **Shaded Region**:
- The area below the line $y = \frac{2}{3}x$ is shaded, indicating that the inequality $y \leq \frac{2}{3}x$ includes all points in this region.
- This shaded region encompasses points where the y-value is less than or equal to $\frac{2}{3}$ of the corresponding x-value.

#### Interpretation:

The shaded region of this graph contains all solution points for the inequality $y \leq \frac{2}{3}x$. Any point in this shaded area is a valid solution to the inequality. Points on the boundary line $y = \frac{2}{3}x$ are also included in the solution set, as indicated by the "less than or equal to" (≤) in the inequality.

#### Educational Application:

Understanding how to graph linear inequalities is crucial for solving many algebraic problems and understanding their solutions. This example provides a clear visual representation of how a linear inequality divides the plane into a region comprising all its solutions.

---

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