Question

find an equation of the line containing the given pair of points

{1/6,-1/3} and {5/6,3} y=?

Answer 1

y=4.97x-1.14

Answer 2

(y-3) = (x- 5/6) * (-1/3 -3)/(1/6- 5/6)

Answer 3

Slope

\[m=\frac{y_2-y_1}{x_2-x_1}\]


\[m=\frac{3-(-\frac{1}{3})}{\frac{5}{6}-\frac{1}{6}}\]


\[m=\frac{3+\frac{1}{3}}{\frac{5}{6}-\frac{1}{6}}\]


\[m=\frac{\frac{9}{3}+\frac{1}{3}}{\frac{5}{6}-\frac{1}{6}}\]


\[m=\frac{\frac{9+1}{3}}{\frac{5-1}{6}}\]


\[m=\frac{\frac{10}{3}}{\frac{4}{6}}\]


\[m=(\frac{10}{3})(\frac{6}{4})\]


\[m=\frac{60}{12}\]


\[m=5\]


---------------

\[y-y_1=m(x-x_1)\]


\[y-3=5(x-\frac{5}{6})\]


\[y-3=5x-\frac{25}{6}\]



\[y=5x-\frac{25}{6}+3\]



\[y=5x-\frac{7}{6}\]