Question

Find the slope vx and the distance Ay for this pair of coordinates. (-2,-4) (3,-1) Change in y Change in x

Answer 1

The slope and the distance of two points (a,b), (c,d) is given by

`\begin{gathered} m\text{ = }(d-b)/(c-a) \\ d=\sqrt[]{\mleft(c-a\mright)^2+(d-b)^2} \end{gathered}`

Replacing our original points, we have

`\begin{gathered} m=(-1-(-4))/(3-(-2))=(-1+4)/(3+2) \\ m=(3)/(5) \\ d=\sqrt[]{(3-\mleft(-2)\mright)^2+(-1}-(-4))^2 \\ d=\sqrt[]{5^2+3^2} \\ d=5.83 \end{gathered}`