At Westonci.ca, we provide reliable answers to your questions from a community of experts. Start exploring today! Discover a wealth of knowledge from professionals across various disciplines 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 :
To determine the slope of the linear function represented by the table, we need to use the slope formula which is calculated as the change in y divided by the change in x. This formula is written as:
[tex]\[ \text{slope} = \frac{\Delta y}{\Delta x} \][/tex]
where \(\Delta y\) represents the change in the y-values, and \(\Delta x\) represents the change in the x-values.
Let's take the first two points from the table to find the slope:
The points are:
[tex]\[ (x_1, y_1) = (-2, 8) \][/tex]
[tex]\[ (x_2, y_2) = (-1, 2) \][/tex]
Now, calculate the change in y (\(\Delta y\)) and the change in x (\(\Delta x\)):
[tex]\[ \Delta y = y_2 - y_1 = 2 - 8 = -6 \][/tex]
[tex]\[ \Delta x = x_2 - x_1 = -1 - (-2) = -1 + 2 = 1 \][/tex]
Next, we substitute these values into the slope formula:
[tex]\[ \text{slope} = \frac{\Delta y}{\Delta x} = \frac{-6}{1} = -6.0 \][/tex]
Therefore, the slope of the function is:
[tex]\[ -6.0 \][/tex]
So, the correct option is:
[tex]\[ -6 \][/tex]
[tex]\[ \text{slope} = \frac{\Delta y}{\Delta x} \][/tex]
where \(\Delta y\) represents the change in the y-values, and \(\Delta x\) represents the change in the x-values.
Let's take the first two points from the table to find the slope:
The points are:
[tex]\[ (x_1, y_1) = (-2, 8) \][/tex]
[tex]\[ (x_2, y_2) = (-1, 2) \][/tex]
Now, calculate the change in y (\(\Delta y\)) and the change in x (\(\Delta x\)):
[tex]\[ \Delta y = y_2 - y_1 = 2 - 8 = -6 \][/tex]
[tex]\[ \Delta x = x_2 - x_1 = -1 - (-2) = -1 + 2 = 1 \][/tex]
Next, we substitute these values into the slope formula:
[tex]\[ \text{slope} = \frac{\Delta y}{\Delta x} = \frac{-6}{1} = -6.0 \][/tex]
Therefore, the slope of the function is:
[tex]\[ -6.0 \][/tex]
So, the correct option is:
[tex]\[ -6 \][/tex]
Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.