- Save & Exit Practice Lesson: 4.2 Graphing Linear Equations by... Question 5 of 8, Step 1 of 1 Find the y-intercept and x-intercept of the following linear equation. -7x - 3y = -21 Answer Enter the coordinates to plot points on the graph. Any lines or curves will be drawn once all required points are plotted. 107 y-intercept (A): ( 10 x-intercept (B): ( Tutor 3/8 Correct -5 5 Lesson 4.2 Practice Mode Question 5 of 8 Step 1 of 1 TANAE W -S Enable Zoom/Pan 10 Skip Try Similar Key Subr

Algebra and Trigonometry (6th Edition)
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Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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### Lesson: Graphing Linear Equations
#### Topic: Finding Intercepts of a Linear Equation

---

#### Question 5 of 8, Step 1 of 1

**Prompt:**

Find the *y*-intercept and *x*-intercept of the following linear equation.

\[ -7x - 3y = -21 \]

---

**Answer Section:**

**Task:**

Enter the coordinates to plot points on the graph. Any lines or curves will be drawn once all required points are plotted.

1. **y-intercept (A):** 
    - Coordinates: ( , )

2. **x-intercept (B):**
    - Coordinates: ( , )

**Graph Details:**
- The graph provided is a standard Cartesian plane with the *x*-axis ranging from -10 to 10 and the *y*-axis ranging from -10 to 10.
- The origin (0, 0) is marked, and the axes are labeled as *x* and *y*.
- Grid lines and markers are visible for easier point plotting.

To fill in the intercept coordinates, solve for the *y*-intercept by setting \( x = 0 \) in the given equation and for the *x*-intercept by setting \( y = 0 \).

**Example Calculation Steps:**
1. To find the *y*-intercept (\( x = 0 \)):
    - Substitute \( x = 0 \) into the equation: 
      \[ -3y = -21 \]
    - Solve for \( y \):
      \[ y = 7 \]
    - So, the *y*-intercept is (0, 7).

2. To find the *x*-intercept (\( y = 0 \)):
    - Substitute \( y = 0 \) into the equation:
      \[ -7x = -21 \]
    - Solve for \( x \):
      \[ x = 3 \]
    - So, the *x*-intercept is (3, 0).

Input these calculated coordinates within the appropriate fields on the platform.

---

Buttons available:
1. **Enable Zoom/Pan:** Allows better navigation and zooming in on the graph area.
2. **Submit Answer:** Click to submit the entered intercepts and see if they are correct.
3. **Skip:** Move to the next question without answering.
4. **Try Similar
Transcribed Image Text:### Lesson: Graphing Linear Equations #### Topic: Finding Intercepts of a Linear Equation --- #### Question 5 of 8, Step 1 of 1 **Prompt:** Find the *y*-intercept and *x*-intercept of the following linear equation. \[ -7x - 3y = -21 \] --- **Answer Section:** **Task:** Enter the coordinates to plot points on the graph. Any lines or curves will be drawn once all required points are plotted. 1. **y-intercept (A):** - Coordinates: ( , ) 2. **x-intercept (B):** - Coordinates: ( , ) **Graph Details:** - The graph provided is a standard Cartesian plane with the *x*-axis ranging from -10 to 10 and the *y*-axis ranging from -10 to 10. - The origin (0, 0) is marked, and the axes are labeled as *x* and *y*. - Grid lines and markers are visible for easier point plotting. To fill in the intercept coordinates, solve for the *y*-intercept by setting \( x = 0 \) in the given equation and for the *x*-intercept by setting \( y = 0 \). **Example Calculation Steps:** 1. To find the *y*-intercept (\( x = 0 \)): - Substitute \( x = 0 \) into the equation: \[ -3y = -21 \] - Solve for \( y \): \[ y = 7 \] - So, the *y*-intercept is (0, 7). 2. To find the *x*-intercept (\( y = 0 \)): - Substitute \( y = 0 \) into the equation: \[ -7x = -21 \] - Solve for \( x \): \[ x = 3 \] - So, the *x*-intercept is (3, 0). Input these calculated coordinates within the appropriate fields on the platform. --- Buttons available: 1. **Enable Zoom/Pan:** Allows better navigation and zooming in on the graph area. 2. **Submit Answer:** Click to submit the entered intercepts and see if they are correct. 3. **Skip:** Move to the next question without answering. 4. **Try Similar
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