Answer:
[tex] y = 2x + 3 [/tex]
Step-by-step explanation:
Given :-
- Two points are given to us .
- The points are (3,9) and (0,3) .
And we need to find the equation in slope intercept form. So here we can find the equation of the line using two point form , as ,
[tex]\implies y - y_1 = \dfrac{ y_2-y_1}{x_2-x_1}( x - x_1) [/tex]
- Now plug in the respective values ,
[tex]\implies y - 9 = \dfrac{ 3-9}{0-3}( x - 3) \\\\\implies y - 9 =\dfrac{-6}{-3}( x - 3 ) \\\\\implies y - 9 = 2( x - 3 ) \\\\\implies y - 9 = 2x - 6 \\\\\implies y = 2x - 6 +9 \\\\\implies \boxed{ y = 2x + 3 }[/tex]
Hence the equation in slope intercept form is y = 2x + 3.
