Question

What is the equation of a line through the points (0, 9) and (3, 0)?

because m =9-0 ; y = –3x + 9
0-3

because m=9- ; y = –3x + 3
0-3

because m=3-0 ; y= -1/3 x + 9
0-9

because m=3-0; y= -1/3x+3
0-9

Answer 1

The first one would be the right answer. Plug in the x and y in the equations to check

Answer 2

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

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

Given Points are (0 , 9) and (3 , 0)

here x₁ = 0 and x₂ = 3 and y₁ = 9 and y₂ = 0

⇒
`Slope(m) = (9 - 0)/(0 - 3) = -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 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
`m = (9 - 0)/(0 - 3)` ; y = -3x + 9