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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Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Question
How to solve this and then graph
![**Linear Equation and Graph Explanation**
The image presents the linear equation:
\[ y = -\frac{3}{2}x + 4 \]
**Graphs Explanation:**
1. **First Graph:**
- The graph features a coordinate plane with a grid.
- A straight line with a negative slope passes through two marked points.
- The line slopes downward from left to right, consistent with a negative slope of \(-\frac{3}{2}\).
2. **Second Graph:**
- The second graph is a placeholder or minimalistic representation without visible details or significant marks.
The equation's slope of \(-\frac{3}{2}\) indicates that for every increase of 2 units in \(x\), \(y\) decreases by 3 units. The y-intercept is 4, meaning the line crosses the y-axis at the point (0, 4).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Febe24218-8cb7-4070-b07e-66172fb01189%2F7b64e75b-8bd6-458a-ac6e-3377b4bfe93e%2Fg5ubteg6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Linear Equation and Graph Explanation**
The image presents the linear equation:
\[ y = -\frac{3}{2}x + 4 \]
**Graphs Explanation:**
1. **First Graph:**
- The graph features a coordinate plane with a grid.
- A straight line with a negative slope passes through two marked points.
- The line slopes downward from left to right, consistent with a negative slope of \(-\frac{3}{2}\).
2. **Second Graph:**
- The second graph is a placeholder or minimalistic representation without visible details or significant marks.
The equation's slope of \(-\frac{3}{2}\) indicates that for every increase of 2 units in \(x\), \(y\) decreases by 3 units. The y-intercept is 4, meaning the line crosses the y-axis at the point (0, 4).
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