Answer:
The equation in slope-intercept form is;
[tex]g(x)=5x+7[/tex]Explanation:
Given the function f(x);
[tex]f(x)=5x+1[/tex]And its transformation g(x);
[tex]g(x)=f(x)+6[/tex]To get the equation for g(x), let us substitute f(x) into the function g(x);
[tex]\begin{gathered} g(x)=f(x)+6 \\ g(x)=5x+1+6 \\ g(x)=5x+7 \end{gathered}[/tex]Therefore, the equation in slope-intercept form is;
[tex]g(x)=5x+7[/tex]