Given :-
- A graph of equation is given to us.
To find :-
- The equation of the line in slope intercept form .
Solution :-
As we can see that the graph passes through (0,-6) and (3,0) . So using this we can find the slope of the line . As ,
[tex]\red{\longrightarrow}\sf slope = y_2-y_1/x_2-x_1[/tex]
[tex]\red{\longrightarrow}[/tex] slope = 0 -(-6)/3-0
[tex]\red{\longrightarrow}[/tex] slope = 6/3
[tex]\red{\longrightarrow}[/tex] slope = 2
Also we can see that the y intercept is -6 , as it cuts y axis at y = -6 . On using the slope intercept form of the line we have ,
[tex]\red{\longrightarrow}[/tex] y = mx + c
[tex]\red{\longrightarrow}[/tex] y = 2x + (-6)
[tex]\red{\longrightarrow}[/tex] y = 2x - 6
Hence the required answer is y = 2x - 6
