Find the intercepts. Then graph by using the intercepts, if possible. 2y-x=4

### Step 1: Find the intercepts

To find the **x-intercept**, set \( y = 0 \) and solve for \( x \):
\[
2(0) - x = 4 \implies -x = 4 \implies x = -4
\]
So, the x-intercept is \( (-4, 0) \).

To find the **y-intercept**, set \( x = 0 \) and solve for \( y \):
\[
2y - 0 = 4 \implies 2y = 4 \implies y = 2
\]
So, the y-intercept is \( (0, 2) \).

### Step 2: Graph using the intercepts

Using the intercepts \( (-4, 0) \) and \( (0, 2) \), you can plot the line. These two points are enough to determine the straight line.

Would you like me to generate the graph for you?

---

If you have any questions, feel free to ask! Here are some related questions:
1. How do you find the slope of the line from the equation?
2. How do you rewrite the equation in slope-intercept form?
3. What are the general steps to graph any linear equation?
4. How do you find intercepts in nonlinear equations?
5. Can you find the intercepts of a quadratic function?

**Tip:** The slope of a line can be calculated by using the formula \( \frac{y_2 - y_1}{x_2 - x_1} \), which is useful when graphing based on points.

Discover how to find the x and y intercepts for the linear equation 2y - x = 4. This step-by-step solution explains the intercept method and how to graph the line using these points. Ideal 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