Question

Find the equation of the line shown.

Answer 1

Given : A graph of linear equationis given to us.

To Find : The equation of the line .

Solution : Here we can see that the line passes through points ( 1 , 2 ) and ( 2 , 4). So , clearly here we can use Two - point form to find the equation of the line .

So , first point will be , ( 1 , 2 ) & second point will be ( 2 , 4 ) . So here ;

• $\sf x_1 = 1\: \& \:y_1 = 2$
• $\sf x_2 = 2\: \&\: y_2=4$

Now , the two point form formula is :

$\Large\boxed{\red{\sf \purple{\mapsto} y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)}}$

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

$\tt:\implies y-2=\dfrac{4-2}{2-1}(x-1)$

$\tt:\implies y-2 = \dfrac{2}{1}(x-1)$

$\tt:\implies y-2=2(x-1)$

$\tt:\implies y -2 = 2x - 2$

$\underline{\boxed{\purple{\tt\longmapsto 2x - y = 0}}}$