Welcome to Westonci.ca, your one-stop destination for finding answers to all your questions. Join our expert community now! Discover precise answers to your questions from a wide range of experts on our user-friendly Q&A platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.
Sagot :
Answer:
[tex]\[m = -\frac{2}{3}\][/tex]
Step-by-step explanation:
To find the slope of a line passing through two points [tex]\((x_1, y_1)\)[/tex] and [tex]\((x_2, y_2)\)[/tex] in the xy-plane, you use the formula for the slope:
[tex]\[m = \frac{y_2 - y_1}{x_2 - x_1}\][/tex]
Given the points [tex]\((-1, \frac{1}{3})\) and \((0, -\frac{1}{3})\):[/tex]
- [tex]\(x_1 = -1\)[/tex]
- [tex]\(y_1 = \frac{1}{3}\)[/tex]
- [tex]\(x_2 = 0\)[/tex]
- [tex]\(y_2 = -\frac{1}{3}\)[/tex]
Plug these values into the slope formula:
[tex]\[m = \frac{-\frac{1}{3} - \frac{1}{3}}{0 - (-1)} = \frac{-\frac{1}{3} - \frac{1}{3}}{0 + 1} = \frac{-\frac{2}{3}}{1} = -\frac{2}{3}\][/tex]
Thus, the slope of the line that passes through the points [tex]\((-1, \frac{1}{3})\) and \((0, -\frac{1}{3})\)[/tex] is:
[tex]\[m = -\frac{2}{3}\][/tex]
Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.