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 \(8x + 14y = 15\), we need to set \(y = 0\) and solve for \(x\).

1. Substitute \(y = 0\) into the equation:

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

This simplifies to:

\[
8x = 15
\]

2. Now, solve for \(x\):

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

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

Would you like more details or have any questions?

Here are 5 related questions you might want to explore:
1. How do you find the y-intercept of the same line?
2. What is the slope of the line \(8x + 14y = 15\)?
3. How would you graph this line given the intercepts?
4. How do you find the intercepts if the line equation is given in slope-intercept form?
5. What is the significance of the x-intercept in practical problems?

**Tip**: For finding intercepts, always set the other variable to zero and solve the remaining equation.

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 line 8x + 14y = 15. This algebra problem demonstrates solving for x by setting y = 0, using core concepts in linear equations. Perfect for students in Grades 8-10.

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