Question

A line passes through (1,1) and (-3,5) what is the equation of the line in slope intercept form? y=

Answer 1

$\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ 1}}\quad ,&{{ 1}})\quad % (c,d) &({{ -3}}\quad ,&{{ 5}}) \end{array} \\\quad \\\\ % slope = m slope = \boxed{{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{5-1}{-3-1} \\ \quad \\\\ % point-slope intercept y-{{ y_1}}={{ \boxed{m}}}(x-{{ x_1}})\qquad \textit{plug in the values and solve for "y"}\\ \left. \qquad \right. \uparrow\\ \textit{point-slope form}$

recall, the slope-intercept form is just y = mx + b