Answer:
(B)
Step-by-step explanation:
in order to find the equation of the line containing the altitude AR, first we find the slope of BC that is:
Slope of BC=[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{0-3}{6-3}=-1[/tex]
Also, AR is perpendicular to BC, therefore slope of CD=[tex]-\frac{1}{slope of BC}=\frac{-1}{-1}=1[/tex]
Now, AR passes through point (0,0),using the point-slope form of the equation of a line, the equation of AR is:
[tex]y-y_{1}=slope of AR(x-x_{1})[/tex]
[tex]y-0=(1)(x-0)[/tex]
[tex]y=x[/tex]
which is the required equation.
