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

$y = mx + b$

Where:

• $m$ is the slope of the line.
• $b$ is the $y$-intercept, the point where the line crosses the $y$-axis.

Given:

• Slope ($m$) = -2
• $y$-intercept ($b$) = 7

Substituting these values into the slope-intercept formula:

$y = -2x + 7$

This is the equation of the line in slope-intercept form.

Would you like to go over any part of this? Here are some related questions to expand on this concept:

1. How do you find the slope from two points on a line?
2. How do you convert slope-intercept form to standard form?
3. What does the slope of a line represent in a graph?
4. How do you graph a line given its slope-intercept form?
5. How does changing the $y$-intercept affect the graph of a line?

Tip: The slope tells you how steep the line is, and the sign of the slope indicates its direction.