What is the y intercept of the line y = -2x - 5

The y-intercept of the line \( y = -2x - 5 \) can be found directly from the equation.

The equation is in the slope-intercept form:

\[
y = mx + b
\]

Here:
- \( m \) is the slope of the line.
- \( b \) is the y-intercept.

In your equation \( y = -2x - 5 \), the constant term \( b = -5 \). Therefore, the y-intercept is:

\[
\text{y-intercept} = -5
\]

This means the line crosses the y-axis at the point \( (0, -5) \).

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

Here are five related questions:
1. What is the slope of the line \( y = -2x - 5 \)?
2. How do you find the y-intercept if you are given two points on a line?
3. How does the y-intercept affect the graph of a line?
4. What are the coordinates of the x-intercept of the line \( y = -2x - 5 \)?
5. How does the equation change if the y-intercept is positive?

**Tip:** The y-intercept is where the line crosses the y-axis, which happens when \( x = 0 \).

Learn how to find the y-intercept of the line y = -2x - 5 with a step-by-step explanation. Understand the slope-intercept form of a linear equation and how to identify the y-intercept from the equation directly. Suitable for students in Grades 7-9.

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