Question

Can someone give me the answer for 9?

Answer 1

y=1/4x+2 (you wrote that but I think it’s right but I’m not very good at math :/)

Answer 2

to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below.

`(\stackrel{x_1}{-4}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{2}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{2}-\stackrel{y1}{1}}}{\underset{\textit{\large run}} {\underset{x_2}{0}-\underset{x_1}{(-4)}}} \implies \cfrac{ 1 }{0 +4} \implies \cfrac{ 1 }{ 4 }`
`\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-\stackrel{y_1}{1}=\stackrel{m}{\cfrac{1}{4}}(x-\stackrel{x_1}{(-4)}) \implies y -1 = \cfrac{1}{4} ( x +4) \\\\\\ y-1=\cfrac{1}{4}x+1\implies {\Large \begin{array}{llll} y=\cfrac{1}{4}x+2 \end{array}}`