sweetnessnbab
Answered

At Westonci.ca, we provide clear, reliable answers to all your questions. Join our vibrant community and get the solutions you need. Connect with professionals on our platform to receive accurate answers to your questions quickly and efficiently. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

What is the slope of the line that contains the points \((-2,7)\) and \((2,3)\)?

A. -1
B. 1
C. -4
D. 4

Sagot :

GinnyAnswer
To find the slope of the line that contains the points \((-2, 7)\) and \((2, 3)\), we can use the slope formula. The slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by:

[tex]\[ m = \frac{y_2 - y_1}{x_2 - x_1} \][/tex]

Here, the coordinates given are:
[tex]\[ (x_1, y_1) = (-2, 7) \][/tex]
[tex]\[ (x_2, y_2) = (2, 3) \][/tex]

Substitute these values into the slope formula:

[tex]\[ m = \frac{3 - 7}{2 - (-2)} \][/tex]

Simplify the numerator and the denominator:

[tex]\[ m = \frac{3 - 7}{2 + 2} \][/tex]
[tex]\[ m = \frac{-4}{4} \][/tex]
[tex]\[ m = -1 \][/tex]

Therefore, the slope of the line that passes through the points \((-2, 7)\) and \((2, 3)\) is:

[tex]\[ \boxed{-1} \][/tex]

So, the correct answer is:
A. -1
Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.