Question

3. What is the slope of the line that passes through the points (2,-5) and (-4, -1)? Give your answer as a fraction in simplest form.

Answer 1

Given: the line that passes through the points (2,-5) and (-4, -1).

Find: the slope of the given line.

Step-by-step explanation: suppose,

`\begin{gathered} (x_(1,)y_1)=(2,-5)\text{ } \\ (x_2,y_2)=(-4,-1) \end{gathered}`

The slope of the line is equal to

`m=(y_2-y_1)/(x_2-x_1)=(-1-(-5))/(-4-2)=(-1+5)/(-6)=-(4)/(6)=-(2)/(3)`

Final answer: the required value of slope is

`-(2)/(3)`