Question

Find the slope line

Answer 1

-3/4

Step-by-step explanation:

Given the points: A(-2,5) and B(6,-1)

`\begin{gathered} (x_1,y_1)=A(-2,5) \\ \mleft(x_2,y_2\mright)=B\mleft(6,-1\mright) \end{gathered}`

Substitute these points into the slope formula below:

`\begin{gathered} \text{Slope},m=\frac{Change\text{ in y-axis}}{Change\text{ in x-axis}} \\ =(y_2-y_1)/(x_2-x_1) \end{gathered}`

This gives:

`\begin{gathered} m=(-1-5)/(6-(-2)) \\ =-(6)/(6+2) \\ =-(6)/(8) \\ =-(3)/(4) \end{gathered}`

The slope of line AB is -3/4.