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

`\mathrm{-(2)/(3) }`

Explanation:

`\left(-1,\:4\right),\:\left(2,\:2\right)\\\mathrm{m} =(2-4)/(2-\left(-1\right))\\\mathrm{m=(-2)/(3)}\\\\rightarrow (-a)/(b) = -(a)/(b)\:\:\mathrm{if}\:a\\eq 0\\\mathrm{m} =-(2)/(3)`

Answer 2

`\sf slope=-\frac{ \boxed{2} }{ \boxed{3} }`

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) & =(y_2-y_1)/(x_2-x_1)\\\\ & =(2-4)/(2-(-1))\\\\ & = (2-4)/(2+1)\\\\&=-(2)/(3)\end{aligned}`