We can See that Line is Passing through the Points (-2 , -5) and (0 , -1)
Slope of a Line Passing through two points (x₁ , y₁) and (x₂ , y₂) is given by :
[tex]Slope(m) = \frac{y_1 - y_2}{x_1 - x_2}[/tex]
here x₁ = -2 and x₂ = 0 and y₁ = -5 and y₂ = -1
[tex]Slope(m) = \frac{-5 + 1}{-2} = \frac{-4}{-2} = 2[/tex]
We know that the form of line passing through point (x₀ , y₀) and having slope m is :
y - y₀ = m(x - x₀)
Here the line passes through the point (-2 , -5) and (0 , -1)
We can take any one point of the both
let us take (-2 , -5)
x₀ = -2 and y₀ = -5 and we found m = 2
Equation of the line :
y + 5 = 2(x + 2)
Option D is the Answer
