Answer:
Let x represents the number of the days, and y represents total number of the poem.
According to the question,
Edgar started with 2 poems in his journal. Then he started writing 3 poems each day.
Thus, the line that describes the above situation is,
y = 2 + 3 x
The x -intercept of the line is [tex](-\frac{2}{3} , 0)[/tex] or (-0.667 , 0)
And, the y-intercept of the line is (0,2)
Also, if x = 1 y = 5
if x = 2 y = 8
If x = -1 y = - 1
And, if x = - 2 , y = -4
Thus, the points by which the line will pass are,
(1,5), (2,8) , (-1,-1) and (-2,-4)
Therefore, with the help of the above information we can plot the graph of the line. ( shown below)