Answer with explanation:
It is given that line passes through two points (3, –2) and (6, 2).
Equation of line in point slope form with the help of formula:
[tex]\rightarrow \frac{y-y_{1}}{x-x_{1}}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\rightarrow \frac{y+2}{x-3}=\frac{2+2}{6-3}\\\\\rightarrow \frac{y+2}{x-3}=\frac{4}{3}-------\text{Equation for the line in point-slope form}\\\\\rightarrow 3y+6=4 x-12\\\\\rightarrow 4 x-3 y=6+12\\\\\rightarrow 4 x-3 y=18[/tex]
Standard form of line
4 x-3 y=18
