Explanation:
Concept:
The formula to calculate the equation of a line is given below as
given one point and the slope of the line
[tex]\begin{gathered} m=\frac{y-y_1}{x-x_1} \\ m=slope=\frac{2}{3} \\ (x_1,y_1=(-7,7) \end{gathered}[/tex]
By substitutng the values, we will have
[tex]\begin{gathered} m=\frac{y-y_{1}}{x-x_{1}} \\ \frac{2}{3}=\frac{y-7}{x-(-7)} \\ \frac{2}{3}=\frac{y-7}{x+7} \\ cross\text{ muliply, we will have} \\ 2(x+7)=3(y-7) \\ 2x+14=3y-21 \\ collect\text{b similar terms, we will have} \\ 2x-3y=-21-14 \\ 2x-3y=-35 \end{gathered}[/tex]
Hence,
The final answer is
[tex]2x-3y=-35[/tex]
The THIRD OPTION is the correct answer
