Question

Find the y intercept slope and equation
picture below

Answer 1

without further Ado, let's pick two points off the table, check the picture below, and let's roll on.

`(\stackrel{x_1}{-1}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{0}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{0}-\stackrel{y1}{3}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{(-1)}}} \implies \cfrac{-3}{2 +1} \implies \cfrac{ -3 }{ 3 }\implies -1`

`\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}{3}=\stackrel{m}{-1}(x-\stackrel{x_1}{(-1)}) \implies y -3= -1 (x +1) \\\\\\ y-3=-x-1\implies {\LARGE \begin{array}{llll} y = -x+2 \end{array}} \qquad \impliedby \stackrel{y-intercept}{(0~~,~~2)}`