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??

Please find below the solution to the asked query:

We know : point - slope form of the equation is :

(

*y*-

*y*

_{1}) = m (

*x*-

*x*

_{1})

Here we can see from the graph point ( - 400 , 0 ) ( Where line intersect

*x*- axis ) and ( - 700 , 400 ) ( Red point on the graph )

Here , We have :

*x*

_{1}= - 400 ,

*y*

_{1}= 0 and

*x*

_{2}= - 700 ,

*y*

_{2}= 400

And we know : Slope m = $\frac{{y}_{2}-{y}_{1}}{{x}_{2}-{x}_{1}}$ , Substitute all values we get

m = $\frac{400-0}{-700-\left(-400\right)}=\frac{400}{-700+400}=\frac{400}{-300}=\mathbf{-}\frac{\mathbf{4}}{\mathbf{3}}$ , So we get our point - slope form :

(

*y*- 0 ) = $-\frac{4}{3}$ (

*x*- ( - 400 ) )

**(**

*y*- 0 ) = $-\frac{4}{3}$ (*x*+ 400 ) ( Ans )Hope this information will clear your doubts about topic.

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