Question

What is the slope of the line passing through the points (−1, 7) and (4, −1)?

Answer 1

`- 1.6`

Explanation:

To find the slope, use the equation

`(y2 - y1)/(x2 - x1)`

where (-1, 7) and (4, -1) is (x1, y1) and (x2, y2) respectively.

Hence, the slope will be

`( - 1 - 7)/(4 - ( - 1))`

Simplify:

`( - 8)/(5)`

or

`- 1.6`

Answer 2

`m=-1.6`

Explanation:

We are asked to find the slope of line passing through the points (−1, 7) and (4, −1).

We will use slope formula to solve our given problem.

`m=(y_2-y_1)/(x_2-x_1)`, where,

`m` = Slope of line,

`y_2-y_1` = Difference between two y-coordinates,

`x_2-x_1` = Difference between two x-coordinates of same y-coordinates.

Substitute the given values:

`m=(-1-7)/(4-(-1))`

`m=(-8)/(4+1)`

`m=(-8)/(5)`

`m=-1.6`

Therefore, the slope of line passing through the given points would be
`-1.6`.