Answer:
The equation that matches the graph of the function is:
[tex]y=3x+2[/tex]
Step-by-step explanation:
By looking at the graph of the function we observe that the graph is increasing continuously with the increasing value of x this means that the line has a positive slope.
Also, the equation of the line passes through the point:
(-1,-1) , (0,2) and (1,5)
We will find the equation of line with the help of two passing through points (0,2) and (1,5) as follows:
[tex]y-2=\dfrac{5-2}\times (x-0)\\\\i.e.\\\\y-2=\dfrac{3}{1}\times x\\\\i.e.\\\\y-2=3x\\\\i.e.\\\\y=3x+2[/tex]
