Given the equation of the line :
[tex]4x-7y=6[/tex]We will write the equation in slope-intercept form y = m*x + b
where m is the slope
so, it will be as follows:
[tex]\begin{gathered} 4x-7y=6 \\ 4x-6=7y \\ 7y=4x-6 \\ \\ y=\frac{4}{7}x-\frac{6}{7} \end{gathered}[/tex]Compare the last equation with the general form
so, the slope = 4/7
so, the answer is option C) 4/7
