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:

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

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

$y-1=\dfrac{5-1}{0-1}(x-1)$

$y-1=\dfrac{4}{-1}(x-1)$

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

$y-1=-4x+4$

Add 1 on both sides, we get

$y=-4x+4+1$

$y=-4x+5$

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