Answer: [tex]\dfrac{K}{2}[/tex] .
Step-by-step explanation:
As we know ,
The slope of a line that passes through [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by :
[tex]\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The slope of a line that passes through (1 , 7K), and (-3,5K) =
[tex]\dfrac{5K-7K}{-3-1}\\\\=\dfrac{-2K}{-4}\\\\=\dfrac{K}{2}[/tex]
Hence, the slope of the given line is [tex]\dfrac{K}{2}[/tex] .
