Question

What is the slope of the line passing through the points (0, 4) and (−8, −1) ?

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Answer 1

Slope of the equation passing through the points (0, 4) and (−8, −1) is
`(5)/(8)` .

Explanation:

The equation for the slope is given by

`m= (y_(2)-y_(1))/(x_(2)-x_(1))`

As given

line passing through the points (0, 4) and (−8, −1) .

Putting the values in the equation of a slope

`m= (-1-4)/(-8-0)`

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

`m= (5)/(8)`

Therefore the slope of the equation passing through the points (0, 4) and (−8, −1) is
`(5)/(8)` .

Answer 2

The answer is

`m= (5)/(8)`

The slope of a line, m, is calculated by dividing the change in y (rise) by the change in x (run). The change in y is

`( - 1) - 4 = - 5`
The change in x is

`( - 8) - 0 = - 8`
The slope is then

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