Question

What is the equation in slope intercept form from the line passes through the point(1,-3)and (3,1)

Answer 1

`\bf (\stackrel{x_1}{1}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{1}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{1-(-3)}{3-1}\implies \cfrac{1+3}{3-1}\implies \cfrac{4}{2}\implies 2 \\\\\\ \begin{array}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-(-3)=2(x-1) \\\\\\ y+3=2x-2\implies y=2x-5`

Answer 2

Answer: y=2x-5

Explanation: