Find the slope of the line 11𝑥−8𝑦=88.

To find the slope of the line given by the equation \(11x - 8y = 88\), we need to rewrite the equation in the slope-intercept form, which is \(y = mx + b\), where \(m\) is the slope.

Let's solve for \(y\):

\[
11x - 8y = 88
\]

First, subtract \(11x\) from both sides:

\[
-8y = -11x + 88
\]

Next, divide every term by \(-8\) to isolate \(y\):

\[
y = \frac{11}{8}x - 11
\]

Now that the equation is in slope-intercept form, we can see that the slope \(m\) is \(\frac{11}{8}\).

So, the slope of the line is \(\frac{11}{8}\).

Would you like more details on this or have any questions?

Here are some related questions you might find useful:
1. How do you find the slope of a line from two points?
2. What does the slope represent in a real-world context?
3. How do you find the y-intercept of a line?
4. What is the general form of a linear equation?
5. How do you convert a line equation from standard form to slope-intercept form?
6. What is the relationship between the slope and the angle of the line?
7. Can the slope of a line be negative, and what does that imply?
8. How do parallel and perpendicular lines relate to their slopes?

**Tip:** When given a linear equation in standard form \(Ax + By = C\), you can quickly find the slope by using the formula \(-\frac{A}{B}\).

Learn how to find the slope of the line given by the equation 11𝑥−8𝑦=88 with a detailed step-by-step solution. This problem covers linear equations and slope-intercept form concepts. Suitable for students in Grades 7-9.

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