Question

Find the equation of the straigt line

Answer 1

Given :

A graph with a straight line on it.

To Find :

The equation of the line.

Solution :

From the given graph we can see that the line passes through point ( 0,6 ) and ( 4,10 ) .

Also, equation of line passes through two points $(x_1,y_1)$ and $( x_2,y_2)$ is :

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

Putting all given values, we get :

$y - 6 = (\dfrac{10-6}{4-0})( x -0)\\\\y - 6 = x\\\\y -x = 6$

Therefore, the equation of line is y - x = 6 .