Question

Find the Y intercept of a line that passes through 3, -5 and has a slope of -1

Answer 1

`\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{-5})~\hspace{10em} slope = m\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-(-5)=-1(x-3)\implies y+5=-x+3`

`\bf y=-x\underset{\uparrow }{-2}\leftarrow \begin{array}c \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}~\hfill \stackrel{y-intercept}{(0,-2)}`