The equation you provided is:

\[
4x + 2y = 10
\]

This is a linear equation in two variables, \(x\) and \(y\). You can solve for one variable in terms of the other or express it in slope-intercept form.

### Solving for \(y\):

1. Subtract \(4x\) from both sides:
   \[
   2y = 10 - 4x
   \]

2. Divide both sides by 2 to solve for \(y\):
   \[
   y = \frac{10 - 4x}{2}
   \]
   \[
   y = 5 - 2x
   \]

So, the equation is now in the slope-intercept form \(y = -2x + 5\). The slope of the line is \(-2\) and the y-intercept is \(5\).

If you need to find specific values of \(x\) and \(y\), you would either need another equation or a specific value of one variable to substitute and solve.

Would you like more details on any of these steps?

---

Here are 5 related questions to consider:
1. What is the graphical representation of this linear equation?
2. How do you find the x- and y-intercepts for this equation?
3. How can you solve this system if given another linear equation?
4. What is the slope and how does it relate to the steepness of the line?
5. Can this equation be solved using matrices or other methods?

**Tip**: Always verify the form of a linear equation when graphing, as different forms (like standard vs slope-intercept) make certain features easier to identify.

Explore how to solve the linear equation 4x + 2y = 10, including converting it into slope-intercept form. This guide explains key concepts like slope, y-intercept, and graphing the equation, making it 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