Answer:
Step-by-step explanation:
The slope of a line passing through two given points: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
(1, -5) ⇒ x₁ = 1 , y₁ = -5
(-5, -6) ⇒ x₂ = -5 , y₂ = -6
[tex]m=\dfrac{-6+5}{-5-1}=\dfrac{-1}{-6}=\dfrac16[/tex]
Point-slope form of equation of a line with givem slope m and passing through point (x₁, y₁): [tex]y-y_1=m(x-x_1)[/tex]
(1, -5) ⇒ x₁ = 1 , y₁ = -5
Therefore:
[tex]y-(-5)=\frac16(x-1)\\\\\underline{y+5=\frac16(x-1)}[/tex]
