Question

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

Answer 1

Explanation:

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

`Slope =(y_(2)-y_(1))/(x_(2)-x_(1))\\\\\\=(-9-[-5])/(-11-0)\\\\=(-9+5)/(-11)=(-4)/(-11)\\\\=(4)/(11)`

Slope intercept form: y =mx + b

`y = (4)/(11)x+b`

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

`-5=0+b\\b = -5`

Equation of the line:

`y=(4)/(11)x-5`