**Finding the X-Intercept and Y-Intercept of a Line** **Problem:** Find the x-intercept and y-intercept of the line given by the equation: \[3x - 7y = 21\] **Steps:** To find the x-intercept: 1. Set \(y = 0\) in the equation \(3x - 7y = 21\). 2. Solve for \(x\). To find the y-intercept: 1. Set \(x = 0\) in the equation \(3x - 7y = 21\). 2. Solve for \(y\). **Input Fields:** - **x-intercept:** [ ] - **y-intercept:** [ ] **Buttons Explanation:** - Several buttons with different shapes are displayed next to the input fields. These buttons might be used for different types of mathematical operations or functionalities (such as simplifying fractions or shifting values). - A button marked with an "X" likely indicates a clear or reset action. - A button with a circular arrow probably represents a refresh or undo action. **Check Answer:** At the bottom of the fields, there is a "Check" button, which, when clicked, presumably verifies the entered values for the intercepts. **Note for Students:** Accurately finding the intercepts is crucial in understanding the behavior of linear equations when graphed on the coordinate plane. Make sure to follow the given steps carefully to solve for the intercepts. Once you have the values, enter them in the respective fields and click "Check" to validate your answers.

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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**Finding the X-Intercept and Y-Intercept of a Line**

**Problem:**
Find the x-intercept and y-intercept of the line given by the equation:
\[3x - 7y = 21\]

**Steps:**

To find the x-intercept:
1. Set \(y = 0\) in the equation \(3x - 7y = 21\).
2. Solve for \(x\).

To find the y-intercept:
1. Set \(x = 0\) in the equation \(3x - 7y = 21\).
2. Solve for \(y\).

**Input Fields:**
- **x-intercept:** [ ]
- **y-intercept:** [ ]

**Buttons Explanation:**
- Several buttons with different shapes are displayed next to the input fields. These buttons might be used for different types of mathematical operations or functionalities (such as simplifying fractions or shifting values).
- A button marked with an "X" likely indicates a clear or reset action.
- A button with a circular arrow probably represents a refresh or undo action.

**Check Answer:**
At the bottom of the fields, there is a "Check" button, which, when clicked, presumably verifies the entered values for the intercepts.

**Note for Students:**
Accurately finding the intercepts is crucial in understanding the behavior of linear equations when graphed on the coordinate plane. Make sure to follow the given steps carefully to solve for the intercepts. Once you have the values, enter them in the respective fields and click "Check" to validate your answers.
Transcribed Image Text:**Finding the X-Intercept and Y-Intercept of a Line** **Problem:** Find the x-intercept and y-intercept of the line given by the equation: \[3x - 7y = 21\] **Steps:** To find the x-intercept: 1. Set \(y = 0\) in the equation \(3x - 7y = 21\). 2. Solve for \(x\). To find the y-intercept: 1. Set \(x = 0\) in the equation \(3x - 7y = 21\). 2. Solve for \(y\). **Input Fields:** - **x-intercept:** [ ] - **y-intercept:** [ ] **Buttons Explanation:** - Several buttons with different shapes are displayed next to the input fields. These buttons might be used for different types of mathematical operations or functionalities (such as simplifying fractions or shifting values). - A button marked with an "X" likely indicates a clear or reset action. - A button with a circular arrow probably represents a refresh or undo action. **Check Answer:** At the bottom of the fields, there is a "Check" button, which, when clicked, presumably verifies the entered values for the intercepts. **Note for Students:** Accurately finding the intercepts is crucial in understanding the behavior of linear equations when graphed on the coordinate plane. Make sure to follow the given steps carefully to solve for the intercepts. Once you have the values, enter them in the respective fields and click "Check" to validate your answers.
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