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:

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

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:

$y-1=\dfrac{4-1}{9-6}(x-6)$

$y-1=\dfrac{3}{3}(x-6)$

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

$y-1=x-6$

Adding 1 on both sides, we get

$y-1+1=x-6+1$

$y=x-5$

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