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24 votes
Find the equation of the line shown.

у
101
9
8
7
6
5
4
3
2
1
O NON
х
0 1 2 3 4 5 6 7 8 9 10

Find the equation of the line shown. у 101 9 8 7 6 5 4 3 2 1 O NON х 0 1 2 3 4 5 6 7 8 9 10-example-1
User Kendsnyder
by
6.7k points

1 Answer

6 votes

to get the equation of any straight line, all we need is two points from it, let's use those ones in the picture below, (4 , 2) and (8 , 4)


(\stackrel{x_1}{4}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{4}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{4}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{8}-\underset{x_1}{4}}}\implies \cfrac{2}{4}\implies \cfrac{1}{2}


\begin{array}c \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{\cfrac{1}{2}}(x-\stackrel{x_1}{4}) \\\\\\ y-2=\cfrac{1}{2}x-2\implies y = \cfrac{1}{2}x

Find the equation of the line shown. у 101 9 8 7 6 5 4 3 2 1 O NON х 0 1 2 3 4 5 6 7 8 9 10-example-1
User Gopi Kolla
by
6.9k points
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