Respuesta :

Hello.

In order to find the slope of the given line, we should use the slope formula:

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

y₂= the y-coordinate of the second point (6

y₁= the y-coordinate of the first point (-14)

x₂=the x-coordinate of the second point (-10)

x₁=the x-coordinate of the first point (-4)

Let's plug in the values and solve:

[tex]\mathrm{\displaystyle\frac{6-(-14)}{-10-(-4)}=\frac{6+14}{-10+4} =\frac{20}{-6} =-\frac{20}{6} =-\frac{10}{3} }[/tex]

Answer:

[tex]\Large\boxed{\sf{\displaystyle-\frac{10}{3} }}[/tex]

I hope it helps.

Have a nice day.

[tex]\boxed{imperturbability}[/tex]