Answer: [tex]-5y - 2x[/tex] = [tex]31[/tex]
Step-by-step explanation:
The formula for calculating equation of line when two points are given is :
[tex]\frac{y-y_{1}}{x-x_{1}}[/tex]= [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]x_{1}=7[/tex]
[tex]x_{2}[/tex] = 2
[tex]y_{1}[/tex] = -9
[tex]y_{2}[/tex] = -7
Substituting the values into the equation , we have
[tex]\frac{y-(-9)}{x-7}[/tex] = [tex]\frac{-7-(-9)}{(2-7)}[/tex]
[tex]\frac{y+9}{x-7}[/tex] = [tex]\frac{2}{-5}[/tex]
cross multiplying , we have
[tex]-5(y+9)[/tex] = [tex]2(x-7)[/tex]
[tex]-5y-45[/tex] = [tex]2x - 14[/tex]
[tex]-5y - 2x[/tex] = [tex]-14 + 45[/tex]
[tex]-5y - 2x[/tex] = [tex]31[/tex]
