Question

Write the equation of the line that passes through points A(6,1) and B(9,4)? simple answers

Answer 1

Given:

Two points are A(6,1) and B(9,4).

To find:

The equation of the line that passes through the given points.

Solution:

If a line passes through two points
`(x_1,y_1)` and
`(x_2,y_2)`, then the equation of the line is:

`y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)`

It is given that the line passes through the two points A(6,1) and B(9,4). So, the equation of the line is:

`y-1=(4-1)/(9-6)(x-6)`

`y-1=(3)/(3)(x-6)`

`y-1=1(x-6)`

`y-1=x-6`

Adding 1 on both sides, we get

`y-1+1=x-6+1`

`y=x-5`

Therefore, the equation of the line is
`y=x-5`.