Answered

Explore Westonci.ca, the top Q&A platform where your questions are answered by professionals and enthusiasts alike. Get detailed and precise answers to your questions from a dedicated community of experts on our Q&A platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

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]
Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.