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

$y = mx + b$

Where:

• $m$ is the slope
• $b$ is the y-intercept

Given:

• Slope $m = -\frac{7}{3}$
• Y-intercept $b = -7$

Substituting these values into the slope-intercept equation:

$y = -\frac{7}{3}x - 7$

So, the slope-intercept equation of the line is:

$y = -\frac{7}{3}x - 7$

Would you like to explore more about this equation, or do you have other questions?

Related Questions:

1. How do you find the equation of a line given two points?
2. What is the slope-intercept form if the slope is 2 and the y-intercept is 5?
3. How do you convert the slope-intercept form to the standard form of a line?
4. What does the slope of a line represent in a real-world context?
5. How do you graph a line given its slope-intercept equation?

Tip:

When graphing a line, start with the y-intercept and then use the slope to find other points on the line.