Question

Use the data in the table to answer the question. When graphed, which choice represents the equation of this line?

Answer 1

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:

`m=(y2-y1)/(x2-x1)`

Replacing :

`m=\text{ }(8.25-7)/(5-4)=(1.25)/(1)=1.25`

slope = 1.25

The only option that has a slope of 1.25 is the equation:

y=1.25x+2