Answer:
[tex] y = x +2[/tex]
Step-by-step explanation:
A graph of equation is given and we need to find the slope intercept form of the line . The slope intercept form is ,
[tex]\sf \implies y = mx + c [/tex]
From the graph we see that it passes through (0,2) and (-2,0) . Hence slope ,
[tex]\sf\implies m =\dfrac{y_2-y_1}{x_2-x_1} \\\\\sf\implies m = \dfrac{2-0}{0-(-2)} =\dfrac{2}{2}\\\\\sf\implies \boxed{\sf m = 1 }[/tex]
- [tex] m = 1 [/tex]
- [tex] c = 2 [/tex]
Plug in the respective values ,
[tex]\sf\implies \boxed{\red{ y = x + 2 }}[/tex]
