Write the equation that represents the line use exact numbers

Answer:[tex]y=1.5x+3[/tex]Step-by-step explanation:Observing the graphLet[tex]A(0,3)[/tex] -----> this point is the y-intercept of the line [tex]B(2,6)[/tex] we know thatThe equation of the line into slope intercept form is equal to[tex]y=mx+b[/tex]wherem is the slopeb is the y-coordinate of the y-interceptIn this problem [tex]b=3[/tex]Find the slope of the line mThe 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]