Answer:
Options A and Option E.
Step-by-step explanation:
A line has a slope of -4/5. Now a line perpendicular to this line will have the slope as [tex]m_{1}.m_{2}=-1[/tex]
Therefore [tex]m_{2}=-\frac{1}{m_{1}}=\frac{1}{\frac{4}{5} }=\frac{5}{4}[/tex]
Now we will find the slope with the help of points given in the options if they lie on the perpendicular line.
A). [tex]m=\frac{5-0}{2+2}=\frac{5}{4}[/tex]
B). [tex]m=\frac{-5-5}{4+4}=\frac{-10}{8}=-\frac{5}{4}[/tex]
C). [tex]m=\frac{0-4}{2+3}=-\frac{4}{5}[/tex]
D). [tex]m=\frac{-5+1}{6-1}=\frac{-4}{5}=-\frac{4}{5}[/tex]
E). [tex]m=\frac{9+1}{10-2}=\frac{10}{8}=\frac{5}{4}[/tex]
Options A and E are the correct options.
