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what is the slope of the line that passes through the points (-1,-7) and (-2,-5)

Sagot :

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

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