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