Answer: C.
![y=7x-5](https://img.qammunity.org/2020/formulas/mathematics/high-school/mzxcizk04s2sh6ea3r8cbovdzezfsxl0tz.png)
Explanation:
The equation of a line in slope intercept form is given by :-
![y=mx+c](https://img.qammunity.org/2020/formulas/mathematics/high-school/xazxy0n1suceupahqa06x8vs8uqbq0w2eg.png)
The given equation is
![(1)/(2)(2y+10)=7x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/81yxhe8afbbipi4a1og4h8n6ri7ck2mpsb.png)
Multiplying 2 on both sides in the above equation , we get
![2y+10=14x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/1v7ipb83e04qn4a5c1i5qi73w59y27b05t.png)
Subtract 10 from both sides , we get
![2y=14x-10](https://img.qammunity.org/2020/formulas/mathematics/middle-school/kjx6beansff9ds9x282z98ncwd3ow1i1lq.png)
Divide both sides by 2 , we get
![y=7x-5](https://img.qammunity.org/2020/formulas/mathematics/high-school/mzxcizk04s2sh6ea3r8cbovdzezfsxl0tz.png)
Hence, the first equation written in slope-intercept form :
![y=7x-5](https://img.qammunity.org/2020/formulas/mathematics/high-school/mzxcizk04s2sh6ea3r8cbovdzezfsxl0tz.png)