Answer:
The correct option is 3.
Step-by-step explanation:
The slope intercept form of a line is
[tex]y=mx+b[/tex] ..... (1)
where, m is slope and b is y-intercept.
From the given graph it is clear that the graph intersect the y-axis at (0,2). So, the y-intercept of the line is 2.
The line passes through the points (0,2) and (4,3). So, the slope of the line is
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{3-2}{4-0}[/tex]
[tex]m=\frac{1}{4}[/tex]
Substitute [tex]m=\frac{1}{4}[/tex] and b=2 in equation 1.
[tex]y=\frac{1}{4}x+2[/tex]
The equation of line is [tex]y=\frac{1}{4}x+2[/tex].
Therefore the correct option is 3.
