Question

What is the slope of line AB, where the points are A (-1,5) and B (3,-1)

Answer 1

`-(3)/(2)`

Step-by-step explanation

Step 1

when you have 2 points of a line P1 and P2, you can easily find the slope using:

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

Let

P1=A=(-1,5)

P2=B=(3,-1)

Step 2

replace

`\begin{gathered} \text{slope}=m=(y_2-y_1)/(x_2-x_1) \\ \text{slope}=m=(-1-5)/(3-(-1))=(-6)/(3+1)=(-6)/(4)=-(3)/(2) \end{gathered}`

I hope this helps you