Question

What is the slope of the line passing through the points (2, 4) and (6,-1)

Answer 1

-5/4

Explanation:

To find the slope of a line passing through two points, we can use the formula:

Slope = (y2 - y1) / (x2 - x1)

Given the points (2, 4) and (6, -1), we can substitute the coordinates into the formula:

Slope = (-1 - 4) / (6 - 2)

= -5 / 4

Answer 2

`\sf -(5)/(4) \textsf{ or } -1.25`

Explanation:

The slope of a line is defined as the change in the y-coordinate divided by the change in the x-coordinate.

`\sf \textsf{Slope} = \frac{\textsf{Change in } y}{\textsf{Change in } x}`

To find the slope of the line passing through the points (2, 4) and (6,-1), we can use the following formula:

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

Substituting value:

`\sf \textsf{Slope} = (-1-4)/(6-2)`

`\sf \textsf{Slope} = -(5)/(4)`

Therefore, the slope of the line passing through the points (2, 4) and (6,-1) is:

`\sf -(5)/(4) \textsf{ or } -1.25`