Answered

Welcome to Westonci.ca, the ultimate question and answer platform. Get expert answers to your questions quickly and accurately. Join our Q&A platform to connect with experts dedicated to providing precise answers to your questions in different areas. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

Select the correct answer.

Two points located on [tex]\(\overleftrightarrow{JK}\)[/tex] are [tex]\(J(6,1)\)[/tex] and [tex]\(K(-3,8)\)[/tex]. What is the slope of [tex]\(\overleftrightarrow{JK}\)[/tex]?

A. [tex]\(-\frac{9}{7}\)[/tex]

B. [tex]\(-\frac{7}{9}\)[/tex]

C. [tex]\(\frac{7}{9}\)[/tex]

D. [tex]\(\frac{9}{7}\)[/tex]

Sagot :

GinnyAnswer
To find the slope of the line passing through the points [tex]\( J(6, 1) \)[/tex] and [tex]\( K(-3, 8) \)[/tex], we will use the slope formula:
[tex]\[ \text{slope} = \frac{y_2 - y_1}{x_2 - x_1} \][/tex]

Here, the coordinates of point [tex]\( J \)[/tex] are [tex]\((x_1, y_1) = (6, 1)\)[/tex], and the coordinates of point [tex]\( K \)[/tex] are [tex]\((x_2, y_2) = (-3, 8)\)[/tex].

Substituting these values into the slope formula gives:
[tex]\[ \text{slope} = \frac{8 - 1}{-3 - 6} \][/tex]
[tex]\[ \text{slope} = \frac{7}{-9} \][/tex]
[tex]\[ \text{slope} = -\frac{7}{9} \][/tex]

Therefore, the correct answer is:
B. [tex]\(-\frac{7}{9}\)[/tex]
Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.