Question

Find the equation of a straight line whose x intercept is 7 and y intercept is 2.​

Answer 1

Solution :-

In this question, we have to find the equation of a straight line whose x and y intercepts are given.

The point where the graph intersects the axis are called intercepts.

• The coordinates of x intercept are : ( 7, 0 )
• The coordinates of y intercept are : ( 0, 2 )

We use the intercept form of straight line to find it's equation.

It is given by,

$\boxed{ \sf\dfrac{x}{x \: intercept} + \dfrac{y}{y \: intercept} = 1 }$

By substituting the values of x and y intercepts, we get :

$\implies\sf\dfrac{x}{7} + \dfrac{y}{2} = 1$

Multiplying both sides with 14

$\implies\sf(14)\dfrac{x}{7} + (14)\dfrac{y}{2} = 1 (14)$

$\implies\sf 2x+ 7y = 14$

So the required equation of straight line is 2x + 7y = 14.