
Identify the x intercepts of the following equation:
11x - 8y = -48

To find the x-intercepts of the equation \( 11x - 8y = -48 \), we set \( y = 0 \) and solve for \( x \).

### Step-by-step solution:
1. Set \( y = 0 \) in the equation:
   \[
   11x - 8(0) = -48
   \]
   Simplifying, this becomes:
   \[
   11x = -48
   \]
2. Solve for \( x \):
   \[
   x = \frac{-48}{11}
   \]
   So, the x-intercept is:
   \[
   x = -\frac{48}{11}
   \]

Thus, the x-intercept is \( x = -\frac{48}{11} \), or approximately \( x \approx -4.36 \).

Do you want more details or have any questions?

Here are 5 related questions for further exploration:
1. How do you find the y-intercept of this equation?
2. What is the slope of the line represented by \( 11x - 8y = -48 \)?
3. How would you graph this equation on the coordinate plane?
4. Can you rewrite the equation \( 11x - 8y = -48 \) in slope-intercept form?
5. How do you find the distance between two points on a line?

**Tip:** To find the x-intercept of a linear equation, always set \( y = 0 \) and solve for \( x \).

Identify the x intercepts of the following equation: 11x - 8y = -48

Discover how to find the x-intercept of the linear equation 11x - 8y = -48 with a detailed step-by-step solution. This solution involves key algebraic concepts, including setting y = 0 and solving for x, and is suitable for students in Grades 8-10.

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