Respuesta :

aahona
The answer is
[tex] m= \frac{5}{8} [/tex]

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
[tex]( - 1) - 4 = - 5[/tex]
The change in x is
[tex]( - 8) - 0 = - 8[/tex]
The slope is then
[tex]( - 5) \div ( - 8) = \frac{ - 5}{ - 8} = \frac{5}{8} [/tex]

Answer:

Slope of the equation passing through the points (0, 4) and (−8, −1) is [tex]\frac{5}{8}[/tex] .

Step-by-step explanation:

The equation for the slope is given by

[tex]m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

As given

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

Putting the values in the equation of a slope

[tex]m= \frac{-1-4}{-8-0}[/tex]

[tex]m= \frac{-5}{-8}[/tex]

[tex]m= \frac{5}{8}[/tex]

Therefore the slope of the equation passing through the points (0, 4) and (−8, −1) is [tex]\frac{5}{8}[/tex] .