Use the image to answer the question. The additive relationship shown appears to contain perpendicular lines. Find the slope of each line. Then enter (1) if the lines are perpendicular, or (2) if the lines are only intersecting, and not perpendicular. (2 points) Slope of dashed line: . Slope of solid line: . Are the lines perpendicular? Skip to navigation

1 answer

To determine if the lines are perpendicular, we need to know the slopes of both lines. If two lines are perpendicular, the product of their slopes is -1.

  1. Calculate the Slopes:

    • For the dashed line, let's say if its slope \( m_1 \) is calculated to be, for example, 2.
    • For the solid line, if its slope \( m_2 \) is calculated to be -0.5.
  2. Check the Relationship:

    • Multiply the slopes: \( m_1 \times m_2 = 2 \times -0.5 = -1 \).
    • Since the product of the slopes equals -1, the lines are perpendicular.

If the slopes of the lines were different, for example:

  • Slope of dashed line: 3
  • Slope of solid line: 1/3
  • Check: \( 3 \times (1/3) = 1 \) (not equal to -1, so not perpendicular).

Make sure to perform these calculations based on the specific line representations from the image. Provide the actual slope values you find to complete your answer accurately.

Since I cannot see the image, I can't provide the precise slopes or determine if they are perpendicular or just intersecting. If you can share the specific slopes for the dashed and solid lines, I can guide you through the conclusion based on them.