what is the slope of the line that passes through the points (7, -5) and (10, -7.5)?

A:
[tex] \frac{5}{6} [/tex]


B:
[tex] \frac{6}{5} [/tex]


C:
[tex] - \frac{5}{6} [/tex]
D:
[tex] - \frac{6}{5} [/tex]

Respuesta :

Answer:

C. [tex]-\frac{5}{6}[/tex]

Step-by-step explanation:

  • just use the equation [tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
  • So our first point (7,-5) will be [tex]x_1=7,y_1=-5[/tex]
  • and our second point (10, -7.5) will be [tex]x_2=10,y_2=-7.5[/tex]
  • Then substitute
  • [tex]slope=\frac{(-7.5)-(-5)}{(10)-(7)}=\frac{-2.5}{3}=-\frac{5}{6}[/tex]