Respuesta :

Answer:

[tex] - 1.6[/tex]

Step-by-step explanation:

To find the slope, use the equation

[tex] \frac{y2 - y1}{x2 - x1} [/tex]

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

Hence, the slope will be

[tex] \frac{ - 1 - 7}{4 - ( - 1)} [/tex]

Simplify:

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

or

[tex] - 1.6[/tex]

Answer:

[tex]m=-1.6[/tex]

Step-by-step 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.

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex], where,

[tex]m[/tex] = Slope of line,

[tex]y_2-y_1[/tex] = Difference between two y-coordinates,

[tex]x_2-x_1[/tex] = Difference between two x-coordinates of same y-coordinates.

Substitute the given values:

[tex]m=\frac{-1-7}{4-(-1)}[/tex]

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

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

[tex]m=-1.6[/tex]

Therefore, the slope of line passing through the given points would be [tex]-1.6[/tex].

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