Respuesta :

The equation for those points is:

y = -1/2x + 5/2
[tex]\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) O&({{ 1}}\quad ,&{{ 2}})\quad % (c,d) N&({{ 3}}\quad ,&{{ 1}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{1-2}{3-1}[/tex]

[tex]\bf y-{{ y_1}}={{ m}}(x-{{ x_1}})\qquad \begin{array}{llll} \textit{plug in the values for } \begin{cases} y_1=2\\ x_1=1\\ m=\boxed{?} \end{cases}\\ \textit{and solve for "y"} \end{array}\\ \left. \qquad \right. \uparrow\\ \textit{point-slope form}[/tex]