Question

Which equation represents a line that passes through the two points in the table

Answer 1

y-1=5/4(x-1)

All of the answers are in point-slope form btw.

Answer 2

`y-1=(5)/(4)(x-1)`

Explanation:

we know that

The equation of the line into point slope for, is equal to

`y-y1=m(x-x1)`

The formula to calculate the slope between two points is equal to

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

In this problem we have

`A(1,1), B(5,6)`

Substitute the values

`m=(6-1)/(5-1)`

`m=(5)/(4)`

with the point A and the slope m find the equation of the line

substitute the values

`y-1=(5)/(4)(x-1)`