[tex]6.\\-6(a-7)=(-6)(a)+(-6)(-7)=-6a+42\\\\distributive\ property:\ a(b\pm c)=ab\pm ac[/tex]
[tex]7.\\The \formula of\ slope:\\\\m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]We\ have:\\\\(3;\ 4);\ (-6;\ 10)\\\\m=\dfrac{10-4}{-6-3}=\dfrac{6}{-9}=-\dfrac{2}{3}[/tex]
[tex]Answer:\ m=-\dfrac{2}{3}[/tex]