A line has a slope of 
–
2
3
 and a y-intercept of 6. Write its equation in slope-intercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form.

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

\[
y = mx + b
\]

where:
- \( m \) is the slope,
- \( b \) is the y-intercept.

Given:
- The slope \( m = -\frac{2}{3} \),
- The y-intercept \( b = 6 \).

Substituting these values into the slope-intercept form:

\[
y = -\frac{2}{3}x + 6
\]

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

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you convert from slope-intercept form to standard form?
2. How do you find the slope of a line from two points?
3. What is the significance of the y-intercept in a graph?
4. Can a vertical line be written in slope-intercept form?
5. How do parallel lines relate in terms of their slopes?

**Tip:** When graphing a line, always start by plotting the y-intercept and then use the slope to find another point on the line.

A line has a slope of -2/3 and a y-intercept of 6. Write its equation in slope-intercept form. Write your answer using integers, proper fractions, and improper fractions in simplest form.

Learn how to write the equation of a line with a slope of -2/3 and a y-intercept of 6. This problem explains the slope-intercept form (y = mx + b) and is suitable for students in Grades 7-9. Follow step-by-step to understand linear equations.

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