Answer:
The equation of the straight line is
2 x + y +9=0
Step-by-step explanation:
Step(i):-
Given that the points are ( -1 , -7) and ( -2 , -5)
Slope of the line
[tex]m = \frac{y_{2}-y_{1} }{x_{2} -x_{1} } = \frac{-5-(-7)}{-2-(-1)} = \frac{-5+7}{-2+1} = -2[/tex]
Slope of the line m = -2
Step(ii):-
The equation of the straight line passing through the point (-1,-7) and having slope m =-2
[tex]y - y_{1} = m( x- x_{1} )[/tex]
y - (-7) = - 2( x-(-1))
y +7 = -2 ( x +1)
y +7 = -2 x -2
2 x + y + 7 + 2 =0
2 x + y +9=0
Final answer:-
The equation of the straight line is
2 x + y +9=0
