Find the slope and the​ y-intercept of the line with the following equation.

yequals=eight ninths89xminus−7

The equation of the line is given as:

\[
y = \frac{8}{9}x - 7
\]

This equation is in the slope-intercept form, which is generally written as:

\[
y = mx + b
\]

where:
- \( m \) is the slope of the line, and
- \( b \) is the \( y \)-intercept.

### Slope:
The slope \( m \) is the coefficient of \( x \), which is \( \frac{8}{9} \).

### \( y \)-intercept:
The \( y \)-intercept \( b \) is the constant term, which is \( -7 \).

Thus:
- **Slope**: \( \frac{8}{9} \)
- **\( y \)-intercept**: \( -7 \)

Would you like more details or have any questions?

Here are 5 related questions to deepen your understanding:
1. How would the slope change if the coefficient of \( x \) were negative?
2. What does the slope \( \frac{8}{9} \) indicate about the steepness of the line?
3. How can you determine the \( x \)-intercept from this equation?
4. What is the meaning of the \( y \)-intercept in the context of a graph?
5. How would the line change if the \( y \)-intercept were positive?

**Tip:** The slope indicates how much the \( y \)-value changes for every unit increase in \( x \).

Find the slope and the y-intercept of the line with the following equation: y = 8/9x - 7

Learn how to find the slope and y-intercept of the linear equation y = 8/9x - 7. This problem covers key algebraic concepts such as the slope-intercept form. Perfect for students in Grades 8-10.

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