Question

Which equation represents a line that passes through (–2, 4) and has a slope of ? y – 4 = 2/5(x + 2) y + 4 = 2/5(x – 2) y + 2 = 1/3(x – 4) y – 2 = 1/3(x +4)

Answer 1

$\bf \begin{array}{lllll} &x_1&y_1\\ % (a,b) &({{ -2}}\quad ,&{{ 4}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{2}{5} \\\\\\ % point-slope intercept \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-4=\cfrac{2}{5}[x-(-2)] \\\\\\ y-4=\cfrac{2}{5}(x+2)$