Question

What is the slope of the line shown below? (-4,3) (3, 1)

Answer 1

Let's begin by listing out the information given to us:

`\begin{gathered} (x_1,y_1)=(-4,3) \\ (x_2,y_2)=(3,1) \end{gathered}`

The formula for slope is given by:

`\begin{gathered} m=(\Delta y)/(\Delta x)=(y_2-y_1)/(x_2-x_1)=(1-3)/(3-(-4))=(-2)/(3+4) \\ m=(-2)/(7)=-(2)/(7) \\ m=-(2)/(7) \end{gathered}`