To solve the equation [tex]\( e^{4-3x} = \frac{4}{3}x + 9 \)[/tex] by graphing, we need to graph two separate equations and find their intersection point.
The first equation is:
[tex]\[ y = e^{4-3x} \][/tex]
The second equation is:
[tex]\[ y = \frac{4}{3}x + 9 \][/tex]
By finding the point where these two graphs intersect, we can determine the solution to the original equation [tex]\( e^{4-3x} = \frac{4}{3}x + 9 \)[/tex].
Therefore, the equations to graph are:
[tex]\[ y = e^{4-3x} \][/tex]
and
[tex]\[ y = \frac{4}{3}x + 9 \][/tex]
Hence, the correct options to graph are:
- [tex]\( y = e^{4-3x} \)[/tex]
- [tex]\( y = \frac{4}{3}x + 9 \)[/tex]