Answer:
[tex]\boxed{\boxed{\pink{\bf \leadsto Hence \ option\ [d]\ \bigg(y = \dfrac{5}{2}x + 5\bigg) \ is \ correct }}}[/tex]
Step-by-step explanation:
Here from the given graph we can see that the graph the graph intersects x axis at (2,0) and y axis at (5,0). On seeing options it's clear that we have to use Slope intercept form . Which is :-
[tex]\large\boxed{\orange{\bf y = mx + c} }[/tex]
We know that slope is [tex]\tan\theta[/tex]. So here slope will be ,
[tex]\red{\implies slope = \tan\theta} \\\\\implies slope =\dfrac{PERPENDICULAR}{BASE} \\\\\bf \implies slope =\dfrac{5}{2} [/tex]
Hence the slope is 5/2 . And here value of c will be 5 since it cuts y axis at (5,0).
[tex]\purple{\implies y = mx + c }\\\\\implies y = \dfrac{5}{2}x + 5 \\\\\underline{\boxed{\red{\tt \implies y = \dfrac{5}{2}x + 5 }}}[/tex]
Hence option [ d ] is correct .
