The data in the table are linear. Use the table to find the slope. (1 point)
x: 2, 4, 6, 8
y: 1, -2, -5, -8
A. 3/2
B. -3/2
C. -2/3
D. 2/3
∆y/∆x = -3/2
To find the slope of a linear relationship, we can use the formula for slope which is given by:
slope = (change in y)/(change in x)
Looking at the table:
x: 2, 4, 6, 8
y: 1, -2, -5, -8
We can calculate the changes in x and y to find the slope.
Change in x = 8 - 2 = 6
Change in y = -8 - 1 = -9
Substituting the values into the formula:
slope = (-9)/(6) = -3/2
Therefore, the slope of the linear relationship represented by the data in the table is -3/2.
So, the correct answer is B. -3/2.
To find the slope for linear data, we can use the formula:
slope = (change in y) / (change in x)
Let's calculate the change in y and change in x:
change in y = y2 - y1 = (-2) - 1 = -3
change in x = x2 - x1 = 4 - 2 = 2
Now, we can substitute these values into the slope formula:
slope = (-3) / (2)
Simplifying the fraction, we get:
slope = -3/2
Therefore, the correct answer is B. -3/2.