Write an equation in point slope form passing through (-4,2) with a slope of 0

To write an equation in point-slope form, we use the formula:

\[
y - y_1 = m(x - x_1)
\]

where \((x_1, y_1)\) is a point on the line and \(m\) is the slope.

Given:
- Point: \((-4, 2)\)
- Slope: \(m = 0\)

Substitute the values into the formula:

\[
y - 2 = 0(x + 4)
\]

Since multiplying by zero results in zero, this simplifies to:

\[
y - 2 = 0
\]

Therefore, the equation in point-slope form is:

\[
y = 2
\]

This equation represents a horizontal line passing through the point \((-4, 2)\).

Would you like more details or have any questions?

Here are some related questions you might consider:
1. How do you convert an equation from point-slope form to slope-intercept form?
2. What is the equation of a line with an undefined slope passing through a given point?
3. How would the point-slope form change for a line with a different slope?
4. What are the general characteristics of a line with a slope of zero?
5. Can a line have more than one point-slope form?

**Tip:** For horizontal lines (slope \(m = 0\)), the equation will always be in the form \(y = c\), where \(c\) is the constant \(y\)-value for all points on the line.

Learn how to write an equation in point-slope form passing through the point (-4, 2) with a slope of 0. This problem covers key concepts in linear equations, including the point-slope form formula. Suitable for students in Grades 7-9.

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