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Fill in the blanks: The two graphs are ___ or perpendicular to each other. If the product of the two gradients of two linear graphs is equal to , therefore the linear graphs are ___ to each other.

Mathematics

ScanSolve AI Answer

Answer

parallel\text{parallel}

-1

perpendicular\text{perpendicular}

Step-by-step solution

2 steps
  1. Fill in the blank for the first statement.

    The statement asks for a relationship between two graphs, given the options "or perpendicular" and a hint "(parallel)". The blank should be filled with the other common relationship for lines.
    The two graphs are parallel\boxed{\text{parallel}} or perpendicular to each other.

  2. Fill in the blanks for the conclusion about perpendicular lines.

    This conclusion describes the condition for two linear graphs to be perpendicular based on the product of their gradients.
    Conclusion: If the product of the two gradients of two linear graphs is equal to −1\boxed{-1}, therefore the linear graphs are perpendicular\boxed{\text{perpendicular}} to each other.

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