Write the point slope form for passing through (-4,2)(3,2)

To write the point-slope form of the equation of a line passing through the points \((-4, 2)\) and \((3, 2)\), follow these steps:

1. **Calculate the slope** \(m\) using the formula:
   \[
   m = \frac{y_2 - y_1}{x_2 - x_1}
   \]
   Substituting the points:
   \[
   m = \frac{2 - 2}{3 - (-4)} = \frac{0}{7} = 0
   \]

2. **Point-Slope Form** is given by:
   \[
   y - y_1 = m(x - x_1)
   \]
   Substituting one of the points, say \((-4, 2)\), and the slope \(m = 0\):
   \[
   y - 2 = 0(x + 4)
   \]

   Simplifying this equation:
   \[
   y - 2 = 0
   \]
   \[
   y = 2
   \]

Since the slope is \(0\), the equation is a horizontal line, and the point-slope form simplifies to the horizontal line equation \(y = 2\).

Would you like any more details or have any questions?

Here are 5 related questions:
1. How would you write the equation of a line with a different slope passing through one of these points?
2. What is the slope of a vertical line, and how would you write its equation?
3. How do you convert point-slope form to slope-intercept form?
4. How would the equation change if the points were \((-4, 2)\) and \((3, 5)\)?
5. Can you graph the line represented by this equation?

**Tip:** For horizontal lines, the slope \(m\) is always 0, and the equation is simply \(y = c\) where \(c\) is the y-coordinate of any point on the line.

Write the point slope form for passing through (-4,2) and (3,2).

Learn how to write the point-slope form for a line passing through the points (-4, 2) and (3, 2). This step-by-step solution covers key algebra concepts, including the slope formula and how to identify horizontal lines. Suitable for students in Grades 8-10.

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