Algebra-1

We need to determine the correct point-slope form equation of the line. Let's re-evaluate each option:

 

Calculate the slope m:

Using any two points, such as (1, 2) and (4, 6):

 

Check each option to determine which correctly represents the line:

A. This equation is in point-slope form. To check, use the point (−7, −10). However, this point does not match any points from the table, so this option is not correct.

 

B. This equation uses the point (4, −6), which is not a point in the table. Thus, this option is not correct.

 

C. This equation uses the point (1, 2). To verify:

Substitute x=1 into the equation: