Question

Find the slope of the line passing through the point (- 8,-3) and (-3,4)

Answer 1

The slope of the line passing through the point (- 8,-3) and (-3,4)​ is;

`\begin{gathered} m=(7)/(5) \\ m=1.4 \end{gathered}`

Step-by-step explanation:

We want to find the slope of the line that passes through the points;

`\begin{gathered} (x_1,y_1)=(-8,-3) \\ (x_2,y_2)=(-3,4) \end{gathered}`

Applying the slope m formula;

`m=(\Delta y)/(\Delta x)=(y_2-y_1)/(x_2-x_1)`

substituting the given coordinates;

`\begin{gathered} m=(4-(-3))/(-3-(-8))=(4+3)/(-3+8) \\ m=(7)/(5) \\ m=1.4 \end{gathered}`

Therefore, the slope of the line passing through the point (- 8,-3) and (-3,4)​ is;

`\begin{gathered} m=(7)/(5) \\ m=1.4 \end{gathered}`