The equation of a line in slope-intercept form is:

$y = mx + b$

Where:

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

Given:

• Slope $m = \frac{2}{7}$
• Y-intercept $b = -3$

Substituting these values into the formula, the equation of the line is:

$y = \frac{2}{7}x - 3$

Would you like more details or have any questions?

Here are 5 related questions to deepen your understanding:

1. How do you find the slope of a line between two points?
2. What is the difference between slope-intercept form and point-slope form?
3. How can you determine the x-intercept of a line given its equation?
4. How do you convert the slope-intercept form of a line to standard form?
5. What happens to the slope of a line if it's perpendicular to another line?

Tip: The slope represents the rate of change of $y$ with respect to $x$. If the slope is positive, the line rises as you move from left to right.