What is the slope-intercept form of the equation of the line? (-6,6) , (9,1) pl me on this

Heya! Alexis

Line is Passing through the Points (-6 , 6) and (9 , 1)

Slope of a Line Passing through two points (x₁ , y₁) and (x₂ , y₂) is given by :

here x₁ = -6 and x₂ = 9 and y₁ = 6 and y₂ = 1

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 (-6 , 6) and (9 , 1)

We can take any one point of the both

let us take (-6 , 6)

x₀ = -6 and y₀ = 6 and we found

Equation of the line :

⇒

⇒ 3y - 18 = -x - 6

⇒ 3y = -x + 12

⇒ Slope - Intercept Form :  

it has the same slope and a different y-intercept

hope this : )