given the linear equation 5x-2y=10. a) find the y intercept

To find the **y-intercept** of the linear equation \(5x - 2y = 10\), follow these steps:

### Step 1: Set \(x = 0\)
The y-intercept occurs when \(x = 0\), so we substitute \(x = 0\) into the equation:

\[
5(0) - 2y = 10
\]

This simplifies to:

\[
-2y = 10
\]

### Step 2: Solve for \(y\)
Now, divide both sides of the equation by \(-2\):

\[
y = \frac{10}{-2} = -5
\]

### Final Answer:
The y-intercept is \(y = -5\). In coordinate form, the y-intercept is \((0, -5)\).

Would you like further details on this or have any other questions?

Here are 5 related questions to consider:
1. What is the x-intercept of the same equation?
2. How do you convert this equation into slope-intercept form?
3. What is the slope of the line represented by this equation?
4. Can you graph the equation based on its intercepts?
5. How would you find the equation of a line parallel to this one?

**Tip:** The y-intercept is the point where the graph of the equation crosses the y-axis, and it always occurs when \(x = 0\).

Learn how to find the y-intercept of the linear equation 5x - 2y = 10 with a step-by-step solution. This problem involves key algebraic concepts, including solving for intercepts in linear equations. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation