Question

Answer now please !!!

Answer 1

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

`\spadesuit`
`Slope(m) = (y_2 - y_1)/(x_2 - x_1)`

Given Points are C(3 , -5) and D(6 , 0)

here x₁ = 3 and x₂ = 6 and y₁ = -5 and y₂ = 0

⇒
`Slope(m) = (0 + 5)/(6 - 3) = (5)/(3)`

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 :

⇒
`y + 5 = (5)/(3)(x - 3)`

⇒ 3(y + 5) = 5(x - 3)

⇒ 3y + 15 = 5x - 15

⇒ 5x - 3y = 30

2nd Option is the right answer