Answer: [tex]y=\frac{7}{2} x+10[/tex]
Step-by-step explanation:
y=mx+b
b=the y intercept
m=slope
In this graph, the y intercept is 10 so we can substitute b for that.
You find the slope with 2 points on the line.
(2,17) (6,31)
[tex]\frac{31-17}{6-2}[/tex]=[tex]\frac{14}{4}[/tex] which is simplified to [tex]\frac{7}{2}[/tex]
You can substitute m for [tex]\frac{7}{2}[/tex] now and your equation is [tex]y=\frac{7}{2} x+10[/tex]
