Question

Write the equation of the line that passes through the given points.
(0,-5) and (-11,-9)

Answer 1

Answer:

Step-by-step explanation:

(x₁ , y₁) = (0,-5)   & (x₂, y₂) = (-11 ,-9)

$Slope =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\\=\dfrac{-9-[-5]}{-11-0}\\\\=\dfrac{-9+5}{-11}=\dfrac{-4}{-11}\\\\=\dfrac{4}{11}$

Slope intercept form: y =mx + b

$y = \dfrac{4}{11}x+b$

Plugin x = 0 and y = -5 in the above equation

$-5=0+b\\b = -5$

Equation of the line:

$y=\dfrac{4}{11}x-5$