Question

Find the slope of the line given the following table. X 0,5,15,20 Y 1,-5,-17,-23​

Answer 1

Therefore, the slope of the line is -6/5.

Explanation:

To find the slope of the line given the table with values for X and Y, we can use the formula:

slope (m) = (change in Y) / (change in X)

Let's calculate the changes in Y and X using the given table:

1. Change in Y:

Y2 - Y1 = (-5) - 1 = -6

2. Change in X:

X2 - X1 = 5 - 0 = 5

3. Now, we can calculate the slope (m) using the formula:

m = (-6) / 5

Answer 2

`\sf Slope = (-6)/(5) \textsf{ or } -1.2`

Explanation:

The slope of a line is a measure of its steepness. It is calculated as the change in y divided by the change in x.

To find the slope of the line given the following table:

X 0, 5, 15, 20

Y 1, -5,-17,-23

We can choose any two points on the line and calculate the slope between them.

Let's choose the first two points, (0, 1) and (5, -5):

`\sf Slope = (y_2 - y_1)/(x_2 - x_1)`

`\sf Slope = (-5 - 1)/(5 - 0)`

`\sf Slope = (-6)/(5)`

Therefore, the slope of the line is:

`\sf (-6)/(5) \textsf{ or } -1.2`