Question

Please Answer if you're a smarty pants in Algebra!

Answer 1

`\huge\text{B. $\boxed{7x-2y=39}$}`

Hey there! We can use point-slope form to start off the equation, then change that to standard form.

`\begin{array}c\textbf{Solving}&\textbf{Reasoning}\\\cline{1-2}\\y-y_1=m(x-x_1)&\text{Start with point-slope form.}\\\\y-(-2)=(7)/(2)(x-5)&\text{Substitute in the known values.}\\\\y+2=(7)/(2)(x-5)&x-(-y)=x+y\\\\y+2=(7)/(2)x-(35)/(2)&\text{Use the distributive property.}\\\\-(7)/(2)x+y=-(39)/(2)&\text{Move the variables to the left.}\\\\\boxed{7x-2y=39}&\text{Multiply everything by $-2$.}\end{aligned}`