Question

Which is an equation of the line passing

through the point (10, 8) with a slope of 2/5?

Multiple choice:
(1): y=2/5x+4
(2):y=2/5x+8
(3):y=2/5x+12
(4):y=2/5x
The multiple choices are in fraction and please help

Answer 1

`\bf (\stackrel{x_1}{10}~,~\stackrel{y_1}{8})~\hspace{10em} slope = m\implies \cfrac{2}{5} \\\\\\ \begin{array} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-8=\cfrac{2}{5}(x-10) \\\\\\ y-8=\cfrac{2}{5}x-4\implies y=\cfrac{2}{5}x+4`