We know that Slope of a Line Passing through two points (x₁ , y₁) and (x₂ , y₂) is given by :
[tex]\spadesuit[/tex] [tex]Slope(m) = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Given Points are C(3 , -5) and D(6 , 0)
here x₁ = 3 and x₂ = 6 and y₁ = -5 and y₂ = 0
⇒ [tex]Slope(m) = \frac{0 + 5}{6 - 3} = \frac{5}{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 points C(3 , -5) and D(6 , 0)
Take Any point either C or D, because line passes through both the points
Let us take C(3 , -5)
x₀ = 3 and y₀ = -5 and we found m = 5/3
Substituting in the standard form of the line we get :
⇒ [tex]y + 5 = \frac{5}{3}(x - 3)[/tex]
⇒ 3(y + 5) = 5(x - 3)
⇒ 3y + 15 = 5x - 15
⇒ 5x - 3y = 30
2nd Option is the right answer
