Question

What is the slope of the line that passes through the given points: (-2,8) and (4,6)?

Answer 1

$▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪$

Let's find the slope :

taking :

• $y_2 = 6$

• $y_1 = 8$

• $x_2 = 4$

• $x_1 = - 2$

now, we know the formula to find the slope, that is :

• $\dfrac{y_2 - y_1}{x_2 -x_1 }$

• $\dfrac{6 - 8}{4 - ( - 2)}$

• $\dfrac{ - 2}{ 6}$

• $- \dfrac{ 1}{3}$

Answer 2

Answer:

$\boxed {-\frac{1}{3}}$

Step-by-step explanation:

$\boxed {\sf{Slope}=\cfrac{y_2-y_1}{x_2-x_1}}$

$\sf \left(x_1,\:y_1\right)=\left(-2,\:8\right)$

$\sf \left(x_2,\:y_2\right)=\left(4,\:6\right)$

__________________

$\sf slope \:(m)=\cfrac{6-8}{4-\left(-2\right)}$

$\boxed {\sf Subtract \:the \:numbers:-}$

$\sf Slope\:(m)=-\cfrac{1}{3}$

__________________