Question

What is the equation of the line that passes through the points (2, –1) and (6, 1)?

Answer 1

$\bf \begin{array}{lllll} &\underline{x_1}&\underline{y_1}&x_2&y_2\\ % (a,b) &({{ 2}}\quad ,&{{ -1}})\quad % (c,d) &({{ 6}}\quad ,&{{ 1}}) \end{array} \\\quad \\\\ % slope = m slope = {{ \boxed{m}}}= \cfrac{rise}{run} \implies \cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}} \\ \quad \\\\ % point-slope intercept y-{{\underline{ y_1}}}={{\boxed{ m}}}(x-{{ \underline{x_1}}})\qquad \textit{plug in the values and solve for "y"}\\ \qquad \uparrow\\ \textit{point-slope form}$