Question

(-3, -3), (1, -5)find the slope

Answer 1

For this you can use the slope formula:

`\begin{gathered} m=(y_(2)-y_(1))/(x_(2)-x_(1)) \\ \text{ Where m is the slope and} \\ (x_1,y_1)\text{ and }(x_2,y_2)\text{ are the respective coordinates of the points} \end{gathered}`

So, in this case, you have

`\begin{gathered} (x_1,y_1)=(-3,-3) \\ (x_2,y_2)=(1,-5) \end{gathered}`
`\begin{gathered} m=(y_2-y_1)/(x_2-x_1) \\ m=(-5-(-3))/(1-(-3)) \\ m=(-5+3)/(1+3) \\ m=(-2)/(4) \\ \text{ Simplifying} \\ m=(-2\cdot1)/(2\cdot2) \\ m=-(1)/(2) \end{gathered}`

Therefore, the slope of the line through the given points is