find the equation of the line with slope 2/3 and y-intercept -4

To find the equation of a line with a given slope and y-intercept, you can use the slope-intercept form of a linear equation:

\[
y = mx + b
\]

Where:
- \( m \) is the slope of the line.
- \( b \) is the y-intercept.

Given:
- Slope \( m = \frac{2}{3} \)
- Y-intercept \( b = -4 \)

Plugging these values into the slope-intercept form:

\[
y = \frac{2}{3}x - 4
\]

So, the equation of the line is:

\[
y = \frac{2}{3}x - 4
\]

Would you like details on how this formula works or have any other questions? 

Here are 5 related questions:
1. How do you find the equation of a line given two points?
2. What is the standard form of a linear equation?
3. How do you convert a slope-intercept form equation to standard form?
4. How do you find the slope of a line given two points?
5. How does the y-intercept affect the graph of a line?

**Tip:** Remember, the slope of a line tells you how much the y-value changes for each unit increase in the x-value.

Find the equation of a line with a slope of 2/3 and a y-intercept of -4. This solution walks you through the slope-intercept form of a linear equation, perfect for students in Grades 6-8 learning about linear equations and graphing.

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