Question

Hi can you please help me out. Find the slopes

Answer 1

Given the image of the quadrilateral, we are asked to find some slopes and the length of the sides.

Step-by-step explanation

Part A

The formula for slope is given as

`m=(y_2-y_1)/(x_2-x_1)`

1) Slope Of MJ

`\begin{gathered} x_1,y_1=(-4,-4) \\ x_2,y_2=(2,1) \\ m=(1-(-4))/(2-(-4))=(1+4)/(2+4)=(5)/(6) \end{gathered}`

Answer: 5/6

2) Slope of ML

`\begin{gathered} x_(1), y_(1)=(-4,-4) \\ x_2,y_2=(2,-6) \\ m=(-6-(-4))/(2-(-4))=(-6+4)/(2+4)=-(2)/(6) \end{gathered}`

Answer: -2/6

3) Slope Of Lk

`\begin{gathered} x_1,y_1=(2,-6) \\ x_2,y_2=(8,-1) \\ m=(-1-(-6))/(8-2)=(-1+6)/(6)=(5)/(6) \end{gathered}`

Answer: 5/6

4) Slope of JK

`\begin{gathered} x_1,y_1=(2,1) \\ x_(2), y_(2)=(8,-1) \\ m=(-1-1)/(8-2)=-(2)/(6) \end{gathered}`

Answer: -2/6