Given the equation  
y
=
7/
2
x
−
2
  

The slope is 
.  Note if the slope is undefined, input "DNE."    .

The y-intercept is 
.  Write as an ordered pair. 

The given equation is:

\[
y = \frac{7}{2}x - 2
\]

### Slope:
The equation is in slope-intercept form \( y = mx + b \), where:
- \( m \) is the slope,
- \( b \) is the y-intercept.

Here, \( m = \frac{7}{2} \).  
So, the **slope** is \( \frac{7}{2} \).

### Y-intercept:
The y-intercept is the value of \( y \) when \( x = 0 \). Substituting \( x = 0 \) into the equation:

\[
y = \frac{7}{2}(0) - 2 = -2
\]

Thus, the **y-intercept** is \( (0, -2) \).

### Summary:
- Slope: \( \frac{7}{2} \)
- Y-intercept: \( (0, -2) \)

Would you like further details or have any questions?

Here are 5 related questions:
1. How do you graph a line with a slope of \( \frac{7}{2} \) and a y-intercept of \( (0, -2) \)?
2. What happens to the slope if you multiply the equation by 2?
3. How do you find the x-intercept for the equation \( y = \frac{7}{2}x - 2 \)?
4. What does a negative slope indicate in a linear equation?
5. How can you convert the slope-intercept form to standard form?

**Tip**: The slope represents the steepness of the line; a larger slope means a steeper line.

Given the equation y = 7/2x - 2, determine the slope and the y-intercept as an ordered pair.

Learn how to find the slope and y-intercept of the linear equation y = 7/2x - 2. This problem demonstrates the application of the slope-intercept form y = mx + b, providing a clear explanation of how to extract key values for algebra students in Grades 8-10.

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Given the equation
y

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