Answer:
The equation of the straight line passing through the points
7x +y +2=0
Step-by-step explanation:
Step(i):-
Given points are ( -2 , 12 ) and ( 3, -23)
Slope of the line
[tex]m = \frac{y_{2}-y_{1} }{x_{2} -x_{1} } = \frac{-23-12}{3-(-2)} = \frac{-35}{5} =-7[/tex]
Step(ii):-
The equation of the straight line passing through the points
[tex]y - y_{1} = m( x-x_{1} )[/tex]
[tex]y - 12 = -7( x-(-2) )[/tex]
y - 12 = - 7x -14
7 x + y - 12 + 14 =0
7x +y +2=0
