Find the x-intercept of the line 8x+14y=15.
Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.

To find the x-intercept of the line, we set \( y = 0 \) in the given equation and solve for \( x \).

The given equation is:

\[
8x + 14y = 15
\]

Substituting \( y = 0 \):

\[
8x + 14(0) = 15
\]

\[
8x = 15
\]

Now, solve for \( x \):

\[
x = \frac{15}{8}
\]

Thus, the x-intercept is \( \frac{15}{8} \).

Would you like further details or have any other questions?

Here are 5 related questions:
1. How do you find the y-intercept of a line?
2. What is the slope of the line \( 8x + 14y = 15 \)?
3. How do you convert a standard form equation like \( 8x + 14y = 15 \) into slope-intercept form?
4. What does the x-intercept represent in a graph of a line?
5. How do you graph a line using its intercepts?

**Tip:** To find the x-intercept of any line, simply set \( y = 0 \) and solve for \( x \).

Find the x-intercept of the line 8x + 14y = 15. Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.

Discover how to find the x-intercept of the linear equation 8x + 14y = 15. This problem walks through the process of solving for x when y is set to 0, demonstrating key concepts in linear equations. Perfect 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