Answer: 6y + 5x = 24
Step-by-step explanation:
The formula for calculating equation of line with two points is given as :
[tex]\frac{y-y_{1}}{x-x_{1}}[/tex] = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]x_{1}[/tex] = -12
[tex]x_{2}[/tex] = 6
[tex]y_{1}[/tex] = 14
[tex]y_{2}[/tex] = -1
substituting the values into the formula , we have
[tex]\frac{y-14}{x-(-12)}[/tex] = [tex]\frac{-1-14}{6-(-12)}[/tex]
[tex]\frac{y-14}{x+12}[/tex] = [tex]\frac{-15}{18}[/tex]
[tex]\frac{y-14}{x+12}[/tex] = [tex]\frac{-5}{6}[/tex]
cross multiplying , we have :
6(y - 14 ) = -5 ( x + 12 )
6y - 84 = -5x - 60
6y +5x = -60 + 84
6y + 5x = 24
