The equation given is a linear equation in the slope-intercept form: 

\[
y = mx + b
\]

Here, \( m = -2 \) is the slope of the line, and \( b = 5 \) is the y-intercept. This means the line crosses the y-axis at the point \((0, 5)\) and has a slope of \(-2\), indicating that for every 1 unit increase in \(x\), the value of \(y\) decreases by 2 units.

### Basic Properties:
1. **Slope:** \(-2\) – The line is decreasing because the slope is negative.
2. **Y-intercept:** 5 – This is the point where the line crosses the y-axis.
3. **X-intercept:** To find this, set \( y = 0 \) and solve for \( x \):
   
   \[
   0 = 5 - 2x
   \]

   \[
   2x = 5
   \]

   \[
   x = \frac{5}{2} = 2.5
   \]

   So, the line crosses the x-axis at \((2.5, 0)\).

Would you like a more detailed explanation, a graph of this line, or assistance with a specific question?

### Relative Questions:
1. What is the slope of a line perpendicular to \( y = 5 - 2x \)?
2. How would the graph change if the equation were \( y = 5 + 2x \)?
3. What is the equation of a line parallel to \( y = 5 - 2x \) that passes through the point \((1, 3)\)?
4. How do you convert this equation to standard form?
5. How would you find the distance between a point and this line?

**Tip:** When graphing a line, it's useful to identify both the x-intercept and y-intercept for a quick sketch.

Explore the linear equation y = 5 - 2x, including its slope of -2 and y-intercept of 5. Learn how to find the x-intercept, graph the line, and understand how the slope affects the graph's direction. Suitable for students in Grades 6-8.

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