Answer:
[tex]y=\frac{x}{2} + 3[/tex]
Step-by-step explanation:
Hello
according to the graph shown we can select two points of the line to find its slope
let´s take p1(0,3) and p2(-6,0)
the slope is
[tex]s=\frac{y2-y1}{x2-x1} \\s=\frac{0-3}{-6-0} \\s=\frac{-3}{-6} \\s=\frac{1}{2}[/tex]
using the Point-slope form and substituting with p1(0,3)
[tex]y-y_{0} =s(x-x_{0} ) \\y-3 =\frac{1}{2} (x-0 ) \\y=\frac{x}{2} +3[/tex]
the equation that describes the linear function is
[tex]y=\frac{x}{2} +3[/tex]
Have a great day
