Question

Find the y-intercept of a line that passes through (-2,6) and has a slope of -5

Answer 1

Answer:

its gonna be -4

Step-by-step explanation:

Answer 2

$\bf (\stackrel{x_1}{-2}~,~\stackrel{y_1}{6})~\hspace{10em} slope = m\implies -5 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-6=-5[x-(-2)]\implies y-6=-5(x+2)$

$\bf y-6=-5x-10\implies y=-5x\stackrel{\downarrow }{-4}\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{y-intercept}{(0,-4)}~\hfill$