Question

Write an equation of the line in slope-intercept form (0,-1) (3,5)

Answer 1

`\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{5}) \\\\\\ % slope = m slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{5-(-1)}{3-0}\implies \cfrac{5+1}{3-0} \\\\\\ \cfrac{6}{3}\implies 2 \\\\\\ % point-slope intercept \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-1)=2(x-0)\implies y+1=2x \\\\\\ y=2x-1`