Mathematics: Find the equation of the line below

Find the equation of the line below - id2536741, kaykay9243

Ответ:

samone26

03.01.2022

Notice the picture, the line runs through the origin, 0,0 and 5,1, so let's use those points then,

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~ 0 &,& 0~) 
% (c,d)
&&(~ 5 &,& 1~)
\end{array}
\\\\\\
% slope = m
slope = m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{1-0}{5-0}\implies \cfrac{1}{5}
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-0=\cfrac{1}{5}(x-0)\implies y=\cfrac{1}{5}x$