Question

I’m trying so hard and it’s getting overwhelming. I don’t know how to do this. Can someone please help and explain.

Answer 1

Answer:

$\mathrm{-\frac{2}{3} }$

Step-by-step explanation:

$\left(-1,\:4\right),\:\left(2,\:2\right)\\\mathrm{m} =\frac{2-4}{2-\left(-1\right)}\\\mathrm{m=\frac{-2}{3}}\\\\rightarrow \frac{-a}{b} = -\frac{a}{b}\:\:\mathrm{if}\:a\neq 0\\\mathrm{m} =-\frac{2}{3}$

Answer 2

Answer:

$\sf slope=-\dfrac{ \boxed{2} }{ \boxed{3} }$

Step-by-step explanation:

Define the given points:

• Let (x₁, y₁ ) = (-1, 4)
• Let (x₂, y₂) = (2, 2)

Substitute the given points into the slope formula:

$\begin{aligned}\implies \textsf{slope}\:(m) & =\dfrac{y_2-y_1}{x_2-x_1}\\\\ & =\dfrac{2-4}{2-(-1)}\\\\ & = \dfrac{2-4}{2+1}\\\\&=-\dfrac{2}{3}\end{aligned}$