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in which points do i put the blue line so it prependicular the red line

To make the blue line perpendicular to the red line, let's start by considering the slopes of the lines. Two lines are perpendicular when the product of their slopes is \(-1\).

1. **Step 1: Find the slope of the red line**  
   The red line appears to have a negative slope. You can calculate the slope \(m_{\text{red}}\) using two points on the red line:
   \[
   m = \frac{y_2 - y_1}{x_2 - x_1}
   \]
   By looking at the grid, choose two points that the red line passes through.

2. **Step 2: Determine the slope of the blue line**  
   The blue line must have a slope that is the negative reciprocal of the slope of the red line. So if the slope of the red line is \(m_{\text{red}}\), the slope of the blue line, \(m_{\text{blue}}\), must satisfy:
   \[
   m_{\text{blue}} = -\frac{1}{m_{\text{red}}}
   \]

3. **Step 3: Adjust the points**  
   Once you have the slope for the blue line, you can adjust the points so that its slope matches the negative reciprocal of the red line's slope.

Do you want me to extract the slope of the red line and calculate the exact points for the blue line from this image?

In which points do I put the blue line so it becomes perpendicular to the red line?

Learn how to adjust points on a graph to make the blue line perpendicular to the red line. Explore the concept of slopes, and how perpendicular lines have slopes that are negative reciprocals. Suitable for Grades 8-10.

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