Question

Helpppp assaaaaaaap
determine the equation of line (AB)
A(I;1) and B(0;5)​

Answer 1

Given:

Consider the two points are A(1,1) and B(0,5)​.

To find:

The equation of the line AB.

Solution:

If a line passes through the two points, then the equation of the line is:

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

We A(1,1) and B(0,5)​. So, the equation of line AB is:

`y-1=(5-1)/(0-1)(x-1)`

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

`y-1=-4(x-1)`

`y-1=-4x+4`

Add 1 on both sides, we get

`y=-4x+4+1`

`y=-4x+5`

Therefore, the equation of the line AB is
`y=-4x+5`.