Question

use the table to answer the question
x | y
2 | 8
4 | 12
6 | 16

use the data from the table to determine the slope of the line

Answer 1

in the equation y=-1/2x+4 what is the slope

Answer 2

To determine the slope of the line using the data from the table, you can use the formula for slope (m):

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

Using the first two points from the table:

- Point 1: (2, 8)
- Point 2: (4, 12)

Plugging in these values:

\[ m = \frac{12 - 8}{4 - 2} = \frac{4}{2} = 2 \]

Now, let's verify with the second set of points:

- Point 2: (4, 12)
- Point 3: (6, 16)

Using these values:

\[ m = \frac{16 - 12}{6 - 4} = \frac{4}{2} = 2 \]

In both cases, the slope \( m \) is 2.

Therefore, the slope of the line is **2**.

Answer 3

In the equation \( y = -\frac{1}{2}x + 4 \), the slope is the coefficient of \( x \).

Thus, the slope \( m \) is:

\[
m = -\frac{1}{2}
\]

So, the slope of the equation \( y = -\frac{1}{2}x + 4 \) is **\(-\frac{1}{2}\)**.