Question

0,-1 and -4,4 slope equation

Answer 1

The Slope is

`slope=m=(-5)/(4)`

The Equation is

`(y+1})=(-5)/(4)* x`

Explanation:

Two Point Form

Given:

Let,

point A( x₁ , y₁) ≡ ( 0 ,-1)

point B( x₂ , y₂ )≡ (-4 , 4)

To Find:

Equation of Line AB =?

Solution:

`slope=m=(y_(2)-y_(1) )/(x_(2)-x_(1) )`

Substituting the point A( x₁ , y₁) ≡ ( 0 ,-1) and B( x₂ , y₂ )≡ (-4 , 4) we get

`slope=m=(4--1)/(-4-0)=(5)/(-4)=(-5)/(4)`

Equation of a line passing through a points A( x₁ , y₁) and point B( x₂ , y₂ ) is given by the formula Two -Point Form,

`(y-y_(1))=(y_(2)-y_(1) )/(x_(2)-x_(1) )* (x-x_(1))`

Now on substituting the slope and point A( x₁ , y₁) ≡ ( 0 ,-1) and B( x₂ , y₂ )≡ (-4 , 4) we get

`(y--1})=(4--1)/(-4-0)* (x-0)`

`(y+1})=(-5)/(4)* x`

OR

Equation of a line passing through a points A( x₁ , y₁) and having slope m is given by the formula,

i.e equation in point - slope form

`(y-y_(1))=m(x-x_(1))`

Substituting the values we get

`(y+1})=(-5)/(4)* x`