Question

Located at O(1, 2) and N(3, 1). Using slope-intercept form, write the equation of line

Answer 1

The equation for those points is:

y = -1/2x + 5/2

Answer 2

$\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) O&({{ 1}}\quad ,&{{ 2}})\quad % (c,d) N&({{ 3}}\quad ,&{{ 1}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{1-2}{3-1}$

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