Respuesta :

Answer:

Therefore,

[tex]Slope(CE)=\dfrac{2}{3}\\\\Slope(FD)=\dfrac{-3}{2}[/tex]

Step-by-step explanation:

Given:

Let,

C(0,0)

E(9,6)

D(8,1)

F(4,7)

To Find:

Slope CE = ?

Slope FD = ?

Solution:

We know If two Points are given then the slope is given as

[tex]Slope=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

Substituting the values we get

[tex]Slope(CE)=\frac{6-0}{9-0}\\\\Slope(CE)=\frac{2}{3}[/tex]

Similarly,

[tex]Slope(FD)=\frac{1-7}{8-4}\\\\Slope(FD)=\frac{-6}{4}=\frac{-3}{2}[/tex]

Therefore,

[tex]Slope(CE)=\frac{2}{3}\\\\Slope(FD)=\frac{-3}{2}[/tex]