The expression for the slope of a line is express as :
[tex]\text{ Slope=}\frac{y_2-y_1}{x_2-x_1}[/tex]The given coordinates : ( 5, 8 ) & ( 1, 1 )
Substitute the coordinates and simplify :
[tex]\begin{gathered} \text{ Slope=}\frac{y_2-y_1}{x_2-x_1} \\ (x_1,y_1)=(5,8)(x_2,y_2)\text{ = (1,1)} \\ \text{ Slope=}\frac{1-8_{}}{1-5} \\ \text{ Slope=}\frac{-7}{-4} \\ \text{ Slope=}\frac{7}{4} \end{gathered}[/tex]Slope = 7/4
Answer : The slope of the line that passes through (5,8) and (1,1) is 7/4
