Given,
The coordinates of the points are (4x, 7y) and (7x, 4y).
Required
The slope of the line passing through the given points.
The slopeof the line is calculated as,
[tex]\begin{gathered} Slope=\frac{y_2-y_1}{x_2-x_1} \\ =\frac{7y-4y}{4x-7x} \\ =\frac{3y}{-3x} \\ =\frac{-y}{x} \end{gathered}[/tex]
Hence, the slope of the line is -y/x.
