Verified Answer :

(-1,2)(5,2)
notice how both ur sets of points have the same y value (2).... This means u have a horizontal line with a 0 slope. Ur equation would be y = 2....in general form, it would be : y - 2 = 0

we know that

the equation of the line in standard form is equal to

\(Ax+By+C=0\)  

where

A,B and C are real numbers

In this problem we have

\(A(-1,2)\ B(5,2)\)

Find the slope of the line AB

The formula to calculate the slope is equal to

\(m=\frac{y2-y1}{x2-x1}\)

substitute the values

\(m=\frac{2-2}{5+1}\)

\(m=\frac{0}{6}\)

\(m=0\)

The line is parallel to the x-axis

The equation of the line is the y-coordinate of the points that passes through the line

\(y=2\)

Convert to general form

\(y-2=0\)

therefore

the answer is the option

\(y-2=0\)