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Dear Student,

Please find below the solution to the asked query:

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

( y -  y₁ ) = 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  , y₁ = 0  and x ₂ = - 700  , y₂ = 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 )
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