Question

A line passes through the point (10,5) and has a slope of 3/2. Write and equation in slope intercept form

Answer 1

$\bf \begin{array}{lllll} &x_1&y_1\\ % (a,b) &({{ 10}}\quad ,&{{ 5}})\quad \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{3}{2} \\\\\\ % point-slope intercept \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-5=\cfrac{3}{2}(x-10)\implies y-5=\cfrac{3}{2}x-15 \\\\\\ y=\cfrac{3}{2}x-15+5\implies y=\cfrac{3}{2}x-10$