   Chapter 1.4, Problem 48E

Chapter
Section
Textbook Problem

Find an equation of the line that passes through the midpoint of the line segment joining the points P1(−1, −3) and P2(3, 3) and the midpoint of the line segment joining the points P3(−2, 3) and P4(2, −3).

To determine

To find: The equation of line passes through the given midpoints of line segment.

Explanation

Given:

Four points are P1(1,3) , P2(3,3) , P3(2,3) and P4(2,3) .

Formula used:

The formula to calculate the equation of line that has slope m and passes through the points (x1,y1) and (x,y) is,

m=yy1xx1 (1)

The formula to calculate the midpoint of line segment from A(x1,y1) and B(x2,y2) is,

Midpoint=(x1+x22,y1+y22) (2)

Calculation:

Calculate the mid points of the line segment joining the points P1(1,3) , P2(3,3) .

Substitute 1 for x1 , 3 for x2 , 3 for y1 and 3 for y2 in equation (2)

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