Question

Find the slope of the line through the points (4x, 7y) and (7x, 4y). Slope=

Answer 1

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,

`\begin{gathered} Slope=(y_2-y_1)/(x_2-x_1) \\ =(7y-4y)/(4x-7x) \\ =(3y)/(-3x) \\ =(-y)/(x) \end{gathered}`

Hence, the slope of the line is -y/x.