Answer: y = 4x+1
Step-by-step explanation:
After plotting the points on the graph we found that the function is a line.
Since we know that equation of a line passes through two points[tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is,
[tex]y-y_1= \frac{(x_2-x_1)}{(y_2-y_1)} (x-x_1)[/tex]
Thus, equation of the line is,
[tex]y-5= \frac{(9-5)}{(2-1)}(x-1)[/tex]
⇒[tex]y-5= \frac{4}{1}(x-1)[/tex]
⇒y = 4x+1
Which is the required function.
