Answer:
[tex]y=4x+1[/tex]
Step-by-step explanation:
The line is shown in the attachment.
The slope of this line is given by: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
The line passes through (0,1) and (1,5)
Plug in the points to get:
[tex]m=\frac{5-1}{1-0}=4[/tex]
The equation of this line is given by [tex]y=mx +b[/tex], where b=1 is the y-intercept.
From the graph the y-intercept is 1, because the line intersects the y-axis at (0,1).
Therefore the equation is [tex]y=4x+1[/tex]
