The slope-point form: y = mx + b
m-the slope: \(m=\dfrac{y_2-y_1}{x_2-x_1}\)
\((1;\ 7)\to x_1=1\ and\ y_1=7\\(10;\ 1)\to x_2=10\ and\ y_2=1\)
subtitute
\(m=\dfrac{1-7}{10-1}=\dfrac{-6}{9}=-\dfrac{2}{3}\)
The slope-point form: \(y-y_1=m(x-x_1)\)
subtitute
\(y-7=-\dfrac{2}{3}(x-1)\\\\y-7=-\dfrac{2}{3}x+\dfrac{2}{3}\ \ \ |add\ 7\ to\ both\ sides\\\\\boxed{y=-\frac{2}{3}x+7\frac{2}{3}}\)
