Answer:
The y-intercept is the point (0,2)
see the attached figure
Explanation:
we have
![3y=-5^(x)+7](https://img.qammunity.org/2020/formulas/mathematics/middle-school/5sbsb1w1n0fb4ohm9n8y65w3wtr55hggvn.png)
we know that
The y-intercept is the value of y when the value of x is equal to zero
so
For x=0
substitute in the equation and solve for y
![3y=-(1)+7](https://img.qammunity.org/2020/formulas/mathematics/middle-school/w8a44l5mw9jdgfuwkah7d6hzs788pyquut.png)
![3y=6](https://img.qammunity.org/2020/formulas/mathematics/high-school/hxgjmd49lge6o8v130dp06ly1m1a0q2kpq.png)
![y=2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/iixn10ipws98pi08daetfkonu7i7z3hmrl.png)
therefore
The y-intercept is the point (0,2)
using a graphing tool
see the attached figure