Answer:
Step-by-step explanation:
First, you need to find the slope of the line. To do this you need to choose two points on the graph. The points you are given are (-2, 1) and (4, 6). Then use these to find the slope.
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
[tex]m=\frac{6-1}{4-(-2)}[/tex]
[tex]m=\frac{5}{6}[/tex]
You can then plug this and one of your chosen points into the slope-intercept formula
[tex]y-y=m(x-x)[/tex]
[tex]y-1=\frac{5}{6} (x-(-2))[/tex]
[tex]y-1=\frac{5}{6} x+\frac{5}{3}[/tex]
[tex]y=\frac{5}{6}x+\frac{8}{3}[/tex]
