Slope of a Line Passing through two points (x₁ , y₁) and (x₂ , y₂) is given by :
[tex]\spadesuit[/tex] [tex]Slope(m) = \frac{y_1 - y_2}{x_1 - x_2}[/tex]
Given Points are (0 , 9) and (3 , 0)
here x₁ = 0 and x₂ = 3 and y₁ = 9 and y₂ = 0
⇒ [tex]Slope(m) = \frac{9 - 0}{0 - 3} = -3[/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 (0 , 9) and (3 , 0)
We can take any one point of the both
let us take (3 , 0)
x₀ = 3 and y₀ = 0 and we found m = -3
Equation of the line :
y = -3(x - 3)
y = -3x + 9
So the Answer is :
Because [tex]m = \frac{9 - 0}{0 - 3}[/tex] ; y = -3x + 9
