y=mx +b
Where:
m= slope
b= y-intercept
Choose 2 points from the table:
Point 1 = (x1,y1)= (4,7)
Point "2= (x2,y2)= (5,8.25)
Apply the slope formula:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
Replacing :
[tex]m=\text{ }\frac{8.25-7}{5-4}=\frac{1.25}{1}=1.25[/tex]
slope = 1.25
The only option that has a slope of 1.25 is the equation:
y=1.25x+2
