Answer:
13
Step-by-step explanation:
The slope-intercept form of a line is given as:
\(y=mx+c\)
Where,
- m is the slope, and
- c is the y-intercept [the point in the axis where is cuts the y-axis]
So our first equation of \(f(x)=7x+9\) has a y-axis cutting point at +9. The second equation of \(g(x)=7x-4\) has a y-axis cutting point at -4. So, we can translate \(f(x)\) 9 units to come down to \(y=0\) and another more 4 units to come down to \(y=-4\). In total we have to shift \(f(x)\) 13 units down to get to \(g(x)\).
The graphs of both the equations is shown in the attached picture for better understanding [ RED line is \(f(x)\); BLUE line is \(g(x)\)]
