10. The coordinates of C and D are 4 and -28 respectively, and F mdpt CD. Solve for:a) m CD _ b) m CF_ c)m FD_ _d) the coordinate of F

Answer:a) mCD=7b) mCF=7c) mFD=7d) F(2,-14)Step-by-step explanation:Let  the coordinates of C and D be (4,0) and (0,-28) respectively  and F is the midpoint of CD a) mCD  Slope formula  [tex]m= \frac{y_2-y_1}{x_2-x_1}[/tex] [tex]m= \frac{-28-0}{0-4}[/tex] [tex]m= \frac{-28}{-4}[/tex] [tex]m= 7[/tex] mCD=7 b) mCF  mCF=mCDHence mCF=7 c) mFD mFD=mCDHence mFD=7 d) Coordinates of F :  mid point formula Mid points Formula [tex]x= \frac{x_2+x_1}{2}[/tex] [tex]x= \frac{0+4}{2}=\frac{0+4}{2}=2[/tex] [tex]y= \frac{y_2+y_1}{2}=\frac{-28+0}{2}=\frac{-28}{2}=-14[/tex] coordinates of F are (2,-14)