Translation 1 unit right of f(x)=8x+9, is it f(x)=8x+10
we know that
The rule of the translation is
(x,y) -------> (x+1,y)
so
f(x)=8x+9
the x-intercept of this line is
0=8x+9
8x=-9
x=-9/8
If the translation is 1 unit to the right
The new x-intercept of the line is
-9/8+1=-9/8+8/8=-1/8
therefore
the equation of the new line is
y=8x+1
Verify with the graph
see the attached figure
please wait a minute
the new equation is y=8x+1
therefore
the answer is
The new equation is not y=8x+10
Another way
f(x)=8x+9
(x,y) ------> (x+1,y)
so
the new equation is
f(x)=8(x-1)+9
f(x)=8x-8+9
f(x)=8x+1