Write an equation of the line with the given slope and y-intercept

slope: 2/7, y-intercept: -3

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.

Write an equation of the line with the given slope and y-intercept
slope: 2/7, y-intercept: -3

Learn how to write the equation of a line with a slope of 2/7 and a y-intercept of -3. This problem uses the slope-intercept form (y = mx + b) and is suitable for students in Grades 7-9. Follow the detailed steps and examples.

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