Answered

Westonci.ca is your trusted source for finding answers to all your questions. Ask, explore, and learn with our expert community. Connect with professionals ready to provide precise answers to your questions on our comprehensive Q&A platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

3. A line segment whose endpoints are (3,9) and (7,k) is perpendicular to a line whose slope is --2. Which
of the following is the value of k?
(1) 1
(3) 11
(2) -7
(4) -5

Sagot :

sqdancefan

Answer:

  (3)  11

Step-by-step explanation:

A line perpendicular to one with a slope of -2 will have the opposite reciprocal slope: -1/(-2) = 1/2.

The point-slope equation of the line through (3, 9) with slope 1/2 is ...

  y -9 = 1/2(x -3)

Then for point (7, k) on the line we have ...

  k -9 = 1/2(7 -3)

  k = 9 +2 = 11

The value of k is 11.

View image sqdancefan
Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.