Question

2 What is the slope of the line in the picture below?

Answer 1

`\text{slope}=-(1)/(2)`

Step-by-step explanation

if you know 2 points of a line you can easily find the slope using

`\begin{gathered} \text{slope}=(\Delta y)/(\Delta x)=(y_2-y_1)/(x_2-x_1) \\ \text{where} \\ P1(x_1,y_1) \\ P2(x_2,y_2) \end{gathered}`

Let

P1(-1,5)

P2(7,1)

replace,

`\begin{gathered} \text{slope}=(\Delta y)/(\Delta x)=(y_2-y_1)/(x_2-x_1) \\ \text{slope}=(1-5)/(7-(-1)) \\ \text{slope}=(-4)/(7+1)=-(4)/(8)=-(1)/(2) \\ \text{slope}=-(1)/(2) \end{gathered}`

I hope this helps you