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]