Consider that the slope of a line passing through two given points, is given by the formula,
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]So the slope of line passing through the points (5,4) and (0,1) is calculated as,
[tex]\begin{gathered} m=\frac{1-4}{0-5} \\ m=\frac{-3}{-5} \\ m=\frac{3}{5} \end{gathered}[/tex]Thus, the slope of straight lines passing through (5,4) and (0,1) is 3/5 .
Similarly, the slope of line passing through the points (3,7) and (-2,2) is calculated as,
[tex]\begin{gathered} m=\frac{2-7}{-2-3} \\ m=\frac{-5}{-5} \\ m=1 \end{gathered}[/tex]Thus, the slope of line passing through the points (3,7) and (-2,2) is 1 .
