Question

determine the equation of a line (2,3) and the midpoint of the segment from (-1,4) to (3,2)

Answer 1

Get first the midpoint of the line segment.

x = (-1 + 3)/2
= 1
y = (4 + 2)/2
= 3

so the midpoint is (1,3).

Now get the slope of the line we are looking for using points (2,3) and (1,3).

m = (y2 -y1)/(x2 -x1)
= (3-3)/(2 -1)
= 0

This means that the line is horizontal.

By using y = mx+b and knowing that m = 0,

the equation of the line is y = 3.