Question

Find the equation of the given line.Find the equation of the line passing through (3, 6) and (5, 7).y=

Answer 1

$\begin{gathered} m=\frac{y2-y1}{x2-x1} \\ m=\frac{7-6}{5-3} \\ m=\frac{1}{2} \\ \\ y=\frac{1}{2}x+b \\ \\ 6=\frac{1}{2}(3)+b \\ \\ 6=\frac{3}{2}+b \\ \\ 6-\frac{3}{2}=b \\ \\ \frac{12}{2}-\frac{3}{2}=b \\ \\ \frac{9}{2}=b \\ \\ y=\frac{1}{2}x+\frac{9}{2} \end{gathered}$