Consider the following equation.

4x−2y=84x−2y=8

Step 2 of 3 :  

Plot the y-intercept.

To find the **y-intercept** of the equation \( 4x - 2y = 8 \), we need to set \( x = 0 \). Here's how we do it:

1. **Substitute \( x = 0 \) into the equation**:
   \[
   4(0) - 2y = 8
   \]
   This simplifies to:
   \[
   -2y = 8
   \]

2. **Solve for \( y \)**:
   \[
   y = \frac{8}{-2}
   \]
   \[
   y = -4
   \]

So, the y-intercept is at \( (0, -4) \).

### Plotting the y-intercept:
- The y-intercept occurs where the graph crosses the y-axis.
- On the coordinate plane, you will plot the point \( (0, -4) \).

Would you like more details or have any questions?

### Related Questions
1. How do you find the x-intercept of the equation?
2. Can you rewrite the equation in slope-intercept form?
3. What does the slope represent in this equation?
4. How would you plot another point on the line to draw the full graph?
5. How can you determine if two lines are parallel or perpendicular using their equations?

### Tip
Always set \( x = 0 \) to find the y-intercept and \( y = 0 \) to find the x-intercept.

Consider the following equation. 4x−2y=8. Step 2 of 3: Plot the y-intercept.

Learn how to find and plot the y-intercept of the linear equation 4x - 2y = 8. This step-by-step solution demonstrates setting x to zero to solve for y, and graphing the intercept on the coordinate plane. Suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation