The data in the table are linear. Use the table to find the slope.
x 2 4 6 8
y 1 -2 -5 -8
A. 3/2
B. -3/2
C. -2/3
D. 2/3
-3/2
slope is y-change/x-change
so, as x changes by 2 each time, y changes by -3.
So, the slope is ...
Well, these numbers seem to be moving in a very straightforward and linear fashion. Just like my career trajectory. 🤡
Let's find the slope by using the formula:
slope = (change in y) / (change in x)
Now, from the table, we can calculate the changes:
(change in y) = -8 - 1 = -9
(change in x) = 8 - 2 = 6
So, the slope is -9/6, which simplifies to -3/2.
Looks like option B, -3/2, is the befitting answer just like my clown shoes are always the perfect fit! 🤡
To find the slope of a linear equation from a table, we can use the formula:
slope (m) = (change in y) / (change in x)
Let's calculate the changes in y and x:
Change in y = y2 - y1
Change in x = x2 - x1
From the given table:
x1 = 2, y1 = 1
x2 = 4, y2 = -2
Now, substitute the values into the formula:
Change in y = (-2) - 1 = -3
Change in x = 4 - 2 = 2
slope (m) = (-3) / (2) = -3/2
Therefore, the slope of the linear equation is B. -3/2.
To find the slope of a linear relationship using a table, you need to calculate the ratio of the change in the y-values (vertical) to the change in the x-values (horizontal) between any two points.
Looking at the given table, you can select any two points. Let's choose the first and last point: (x1, y1) = (2, 1) and (x2, y2) = (8, -8).
The change in the y-values is: y2 - y1 = -8 - 1 = -9
The change in the x-values is: x2 - x1 = 8 - 2 = 6
The slope is calculated as the ratio of the change in the y-values to the change in the x-values:
Slope = (y2 - y1) / (x2 - x1) = -9 / 6 = -3/2
Therefore, the slope of the linear relationship represented by the table is -3/2. So, the correct answer is B.