Answer:
![y=2x-1](https://img.qammunity.org/2022/formulas/mathematics/high-school/f8mjbcuqqq7h0e955n4kud13loyie48232.png)
Explanation:
From the question we are told that
equation has a solution (-3,7)
Generally which means solution pass this point
Mathematically solving for slope and intercept
![y=mx +b](https://img.qammunity.org/2022/formulas/mathematics/high-school/g7vmejecm2lpa28q7qqyj2f3eqljy6u48y.png)
![7=m(3) +b](https://img.qammunity.org/2022/formulas/mathematics/high-school/nf1hcrfhl6koxjncv93fmu9ke5yp6hjqtp.png)
![b=7-3m](https://img.qammunity.org/2022/formulas/mathematics/high-school/eci8mbn7ah99aic3p7h20gzzkx2xp0wnkm.png)
Generally we assume a slope as slope intercept pair a numerous
![m=2](https://img.qammunity.org/2022/formulas/mathematics/high-school/4wcg64h1she4pkwrimc8eyz80lm6xtudg6.png)
Mathematically solving
![b=7-3m](https://img.qammunity.org/2022/formulas/mathematics/high-school/eci8mbn7ah99aic3p7h20gzzkx2xp0wnkm.png)
![b =7-3(2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/p6l5t25tib9vc3rsyj74byt28zty3cpkam.png)
![b =1](https://img.qammunity.org/2022/formulas/mathematics/high-school/pj5aa0b4wm61093ph77nqqrbu84w2qbirb.png)
Giving the equation to be
![y=2x-1](https://img.qammunity.org/2022/formulas/mathematics/high-school/f8mjbcuqqq7h0e955n4kud13loyie48232.png)