Answered

IDNLearn.com is committed to providing high-quality answers to your questions. Ask anything and receive immediate, well-informed answers from our dedicated community of experts.

what is the slope of the line perpendicular to AB if A(-1,10) and B(5,-2)

Sagot :

Akposevictoridn

The slope of the line that is perpendicular to line AB is: 1/2.

Recall:

  • If line A has a slope of "-a" and it is perpendicular to line B, therefore, the slope of line B will be the negative reciprocal of line A which is 1/a.
  • Slope (m) = change in y / change in x = [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Given:

A(-1,10)

B(5,-2)

Slope of AB:

[tex]m = \frac{-2 - 10}{5 -(-1)} = \frac{-12}{6} \\\\\mathbf{m = -2}[/tex]

The slope of the line that is perpendicular to line AB will be the negative reciprocal of the slope of AB.

Therefore, the slope of the line perpendicular to AB is: 1/2.

Learn more about slope of a line perpendicular to a line on:

https://brainly.com/question/17990826

Your presence in our community is highly appreciated. Keep sharing your insights and solutions. Together, we can build a rich and valuable knowledge resource for everyone. For dependable and accurate answers, visit IDNLearn.com. Thanks for visiting, and see you next time for more helpful information.