Write the slope-intercept form of the equation with slope −1  and y-intercept (0,−7)

The slope-intercept form of a linear equation is given by:

\[
y = mx + b
\]

where:
- \( m \) is the slope of the line.
- \( b \) is the y-intercept, which is the value of \( y \) when \( x = 0 \).

Given:
- Slope \( m = -1 \)
- Y-intercept \( b = -7 \)

Substituting these values into the slope-intercept form:

\[
y = -1x - 7
\]

This simplifies to:

\[
y = -x - 7
\]

So, the slope-intercept form of the equation is \( y = -x - 7 \).

Would you like further details or have any questions?

Here are five related questions for further exploration:
1. How do you find the slope of a line given two points?
2. What is the point-slope form of a linear equation?
3. How can you convert a slope-intercept equation to standard form?
4. What does the slope of a line represent in a real-world context?
5. How do you determine the x-intercept from the slope-intercept form?

**Tip:** Always remember that the y-intercept is where the line crosses the y-axis, so it's the point where \( x = 0 \).

Learn how to write the slope-intercept form of a linear equation given its slope and y-intercept. Understand the relationship between slope (m) and y-intercept (b) in the context of linear equations. Suitable for students in Grades 7-9.

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