Respuesta :
the answer is c because
when you y -1 = ( x - 5)
1- 1 = 5 -5
0 = 0
where A y - 5 = ( x - 1)
1 - 5 = ( 5 - 1 )
-4 dosenot equal 4
when you y -1 = ( x - 5)
1- 1 = 5 -5
0 = 0
where A y - 5 = ( x - 1)
1 - 5 = ( 5 - 1 )
-4 dosenot equal 4
[tex]\bf \begin{array}{lllll}
&x_1&y_1\\
&({{ 5}}\quad ,&{{ 1}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{1}{2}
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-1=\cfrac{1}{2}(x-5)\implies y-1=\cfrac{1}{2}x-\cfrac{5}{2}
\\\\\\
y=\cfrac{1}{2}x-\cfrac{5}{2}+1\implies y=\cfrac{1}{2}x-\cfrac{3}{2}[/tex]