Question

Turn the points (3, -1) (-3, 5) into slope-intercept form. I found the answer online, but I need help on how to get it. (The answer is y= -x + 2 just for reference)

Answer 1

$\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{-3}~,~\stackrel{y_2}{5}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{5-(-1)}{-3-3}\implies \cfrac{5+1}{-3-3}\implies \cfrac{6}{-6}\implies -1 \\\\\\ \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-1)=-1(x-3) \\\\\\ y+1=-x+3\implies y=-x+2$