Question

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

Answer 1

The equation of the straight line is

2 x + y +9=0

Explanation:

Step(i):-

Given that the points are ( -1 , -7) and ( -2 , -5)

Slope of the line

`m = (y_(2)-y_(1) )/(x_(2) -x_(1) ) = (-5-(-7))/(-2-(-1)) = (-5+7)/(-2+1) = -2`

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

`y - y_(1) = m( x- x_(1) )`

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