Question

Write the equation that passes through the following points:

(5,0) and (-10, — 5)
-
1
Basic Funcs Trig
X
Y
X
X
π
✓ N
8
DNE
↑
→→→→
1
X

Answer 1

`(\stackrel{x_1}{5}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{-10}~,~\stackrel{y_2}{-5}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-5}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{-10}-\underset{x_1}{5}}} \implies \cfrac{ -5 }{ -15 } \implies \cfrac{1 }{ 3 }`

`\begin{array}ll \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}{0}=\stackrel{m}{ \cfrac{1 }{ 3 }}(x-\stackrel{x_1}{5})\implies {\Large \begin{array}{llll} y=\cfrac{1}{3}x-\cfrac{5}{3} \end{array}}`