[tex]\huge\text{B. $\boxed{7x-2y=39}$}[/tex]
Hey there! We can use point-slope form to start off the equation, then change that to standard form.
[tex]\begin{array}{c|l}\textbf{Solving}&\textbf{Reasoning}\\\cline{1-2}\\y-y_1=m(x-x_1)&\text{Start with point-slope form.}\\\\y-(-2)=\dfrac{7}{2}(x-5)&\text{Substitute in the known values.}\\\\y+2=\dfrac{7}{2}(x-5)&x-(-y)=x+y\\\\y+2=\dfrac{7}{2}x-\dfrac{35}{2}&\text{Use the distributive property.}\\\\-\dfrac{7}{2}x+y=-\dfrac{39}{2}&\text{Move the variables to the left.}\\\\\boxed{7x-2y=39}&\text{Multiply everything by $-2$.}\end{aligned}[/tex]
