Answer:
[tex]y=1.5x+3[/tex]
Step-by-step explanation:
Observing the graph
Let
[tex]A(0,3)[/tex] -----> this point is the y-intercept of the line
[tex]B(2,6)[/tex]
we know that
The equation of the line into slope intercept form is equal to
[tex]y=mx+b[/tex]
where
m is the slope
b is the y-coordinate of the y-intercept
In this problem
[tex]b=3[/tex]
Find the slope of the line m
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
substitute the values
[tex]m=\frac{6-3}{2-0}[/tex]
[tex]m=\frac{3}{2}[/tex]
[tex]m=1.5[/tex]
The equation of the line is
[tex]y=1.5x+3[/tex]
